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Finding the Fourth Proportional to 223,165.64, 307,970.26 and 127,666.44

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Solution

The fourth proportional to 223,165.64, 307,970.26 and 127,666.44 is: 176,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,165.64 : 307,970.26 = 127,666.44 : x
  2. Step 2: Convert to fraction form
    223,165.64/307,970.26 = 127,666.44/x
  3. Step 3: Cross multiply
    223,165.64x = 307,970.26 × 127,666.44
  4. Step 4: Simplify right side
    223,165.64x = 39,317,466,720.07
  5. Step 5: Solve for x
    x = 39,317,466,720.07/223,165.64
  6. Step 6: Final answer
    x = 176,180.65

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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.