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Finding the Fourth Proportional to 144,098.70, 216,148.05 and 74,114.70

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Solution

The fourth proportional to 144,098.70, 216,148.05 and 74,114.70 is: 111,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,098.70 : 216,148.05 = 74,114.70 : x
  2. Step 2: Convert to fraction form
    144,098.70/216,148.05 = 74,114.70/x
  3. Step 3: Cross multiply
    144,098.70x = 216,148.05 × 74,114.70
  4. Step 4: Simplify right side
    144,098.70x = 16,019,747,881.34
  5. Step 5: Solve for x
    x = 16,019,747,881.34/144,098.70
  6. Step 6: Final answer
    x = 111,172.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.