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Finding the Fourth Proportional to 129,160.40, 178,243.47 and 71,019.57

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Solution

The fourth proportional to 129,160.40, 178,243.47 and 71,019.57 is: 98,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,160.40 : 178,243.47 = 71,019.57 : x
  2. Step 2: Convert to fraction form
    129,160.40/178,243.47 = 71,019.57/x
  3. Step 3: Cross multiply
    129,160.40x = 178,243.47 × 71,019.57
  4. Step 4: Simplify right side
    129,160.40x = 12,658,774,594.71
  5. Step 5: Solve for x
    x = 12,658,774,594.71/129,160.40
  6. Step 6: Final answer
    x = 98,008.17

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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.