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Finding the Fourth Proportional to 172,805.16, 238,472.16 and 96,329.10

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Solution

The fourth proportional to 172,805.16, 238,472.16 and 96,329.10 is: 132,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,805.16 : 238,472.16 = 96,329.10 : x
  2. Step 2: Convert to fraction form
    172,805.16/238,472.16 = 96,329.10/x
  3. Step 3: Cross multiply
    172,805.16x = 238,472.16 × 96,329.10
  4. Step 4: Simplify right side
    172,805.16x = 22,971,808,547.86
  5. Step 5: Solve for x
    x = 22,971,808,547.86/172,805.16
  6. Step 6: Final answer
    x = 132,934.74

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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.