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Finding the Fourth Proportional to 146,034.77, 218,948.61 and 64,937.46

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Solution

The fourth proportional to 146,034.77, 218,948.61 and 64,937.46 is: 97,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,034.77 : 218,948.61 = 64,937.46 : x
  2. Step 2: Convert to fraction form
    146,034.77/218,948.61 = 64,937.46/x
  3. Step 3: Cross multiply
    146,034.77x = 218,948.61 × 64,937.46
  4. Step 4: Simplify right side
    146,034.77x = 14,217,966,603.93
  5. Step 5: Solve for x
    x = 14,217,966,603.93/146,034.77
  6. Step 6: Final answer
    x = 97,360.15

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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.