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Finding the Fourth Proportional to 172,966.96, 238,685.29 and 96,494.05

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Solution

The fourth proportional to 172,966.96, 238,685.29 and 96,494.05 is: 133,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,966.96 : 238,685.29 = 96,494.05 : x
  2. Step 2: Convert to fraction form
    172,966.96/238,685.29 = 96,494.05/x
  3. Step 3: Cross multiply
    172,966.96x = 238,685.29 × 96,494.05
  4. Step 4: Simplify right side
    172,966.96x = 23,031,710,307.52
  5. Step 5: Solve for x
    x = 23,031,710,307.52/172,966.96
  6. Step 6: Final answer
    x = 133,156.70

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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.