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Finding the Fourth Proportional to 169,264, 233,592.32 and 97,660.16

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Solution

The fourth proportional to 169,264, 233,592.32 and 97,660.16 is: 134,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,264 : 233,592.32 = 97,660.16 : x
  2. Step 2: Convert to fraction form
    169,264/233,592.32 = 97,660.16/x
  3. Step 3: Cross multiply
    169,264x = 233,592.32 × 97,660.16
  4. Step 4: Simplify right side
    169,264x = 22,812,663,345.97
  5. Step 5: Solve for x
    x = 22,812,663,345.97/169,264
  6. Step 6: Final answer
    x = 134,775.64

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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.