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Finding the Fourth Proportional to 193,030.64, 266,397.04 and 121,472

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Solution

The fourth proportional to 193,030.64, 266,397.04 and 121,472 is: 167,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,030.64 : 266,397.04 = 121,472 : x
  2. Step 2: Convert to fraction form
    193,030.64/266,397.04 = 121,472/x
  3. Step 3: Cross multiply
    193,030.64x = 266,397.04 × 121,472
  4. Step 4: Simplify right side
    193,030.64x = 32,359,781,242.88
  5. Step 5: Solve for x
    x = 32,359,781,242.88/193,030.64
  6. Step 6: Final answer
    x = 167,640.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.