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Finding the Fourth Proportional to 223,122.16, 307,907.16 and 127,630.44

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Solution

The fourth proportional to 223,122.16, 307,907.16 and 127,630.44 is: 176,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,122.16 : 307,907.16 = 127,630.44 : x
  2. Step 2: Convert to fraction form
    223,122.16/307,907.16 = 127,630.44/x
  3. Step 3: Cross multiply
    223,122.16x = 307,907.16 × 127,630.44
  4. Step 4: Simplify right side
    223,122.16x = 39,298,326,309.95
  5. Step 5: Solve for x
    x = 39,298,326,309.95/223,122.16
  6. Step 6: Final answer
    x = 176,129.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.