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Finding the Fourth Proportional to 302,173.52, 416,970.52 and 166,205.30

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Solution

The fourth proportional to 302,173.52, 416,970.52 and 166,205.30 is: 229,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,173.52 : 416,970.52 = 166,205.30 : x
  2. Step 2: Convert to fraction form
    302,173.52/416,970.52 = 166,205.30/x
  3. Step 3: Cross multiply
    302,173.52x = 416,970.52 × 166,205.30
  4. Step 4: Simplify right side
    302,173.52x = 69,302,707,867.39
  5. Step 5: Solve for x
    x = 69,302,707,867.39/302,173.52
  6. Step 6: Final answer
    x = 229,347.39

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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.