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Finding the Fourth Proportional to 169,232.32, 233,537.12 and 93,780.16

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Solution

The fourth proportional to 169,232.32, 233,537.12 and 93,780.16 is: 129,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,232.32 : 233,537.12 = 93,780.16 : x
  2. Step 2: Convert to fraction form
    169,232.32/233,537.12 = 93,780.16/x
  3. Step 3: Cross multiply
    169,232.32x = 233,537.12 × 93,780.16
  4. Step 4: Simplify right side
    169,232.32x = 21,901,148,479.54
  5. Step 5: Solve for x
    x = 21,901,148,479.54/169,232.32
  6. Step 6: Final answer
    x = 129,414.69

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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.