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Finding the Fourth Proportional to 172,931.46, 238,646.80 and 96,448.02

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Solution

The fourth proportional to 172,931.46, 238,646.80 and 96,448.02 is: 133,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,931.46 : 238,646.80 = 96,448.02 : x
  2. Step 2: Convert to fraction form
    172,931.46/238,646.80 = 96,448.02/x
  3. Step 3: Cross multiply
    172,931.46x = 238,646.80 × 96,448.02
  4. Step 4: Simplify right side
    172,931.46x = 23,017,011,339.34
  5. Step 5: Solve for x
    x = 23,017,011,339.34/172,931.46
  6. Step 6: Final answer
    x = 133,099.04

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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.