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Finding the Fourth Proportional to 98,898.57, 148,280.29 and 47,580.14

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Solution

The fourth proportional to 98,898.57, 148,280.29 and 47,580.14 is: 71,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,898.57 : 148,280.29 = 47,580.14 : x
  2. Step 2: Convert to fraction form
    98,898.57/148,280.29 = 47,580.14/x
  3. Step 3: Cross multiply
    98,898.57x = 148,280.29 × 47,580.14
  4. Step 4: Simplify right side
    98,898.57x = 7,055,197,209.19
  5. Step 5: Solve for x
    x = 7,055,197,209.19/98,898.57
  6. Step 6: Final answer
    x = 71,337.71

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Why These Related Problems?

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