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Finding the Fourth Proportional to 261,398.48, 391,466.14 and 148,737.36

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Solution

The fourth proportional to 261,398.48, 391,466.14 and 148,737.36 is: 222,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,398.48 : 391,466.14 = 148,737.36 : x
  2. Step 2: Convert to fraction form
    261,398.48/391,466.14 = 148,737.36/x
  3. Step 3: Cross multiply
    261,398.48x = 391,466.14 × 148,737.36
  4. Step 4: Simplify right side
    261,398.48x = 58,225,640,192.99
  5. Step 5: Solve for x
    x = 58,225,640,192.99/261,398.48
  6. Step 6: Final answer
    x = 222,746.67

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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.