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Finding the Fourth Proportional to 153,614, 230,511.72 and 64,861.76

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Solution

The fourth proportional to 153,614, 230,511.72 and 64,861.76 is: 97,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,614 : 230,511.72 = 64,861.76 : x
  2. Step 2: Convert to fraction form
    153,614/230,511.72 = 64,861.76/x
  3. Step 3: Cross multiply
    153,614x = 230,511.72 × 64,861.76
  4. Step 4: Simplify right side
    153,614x = 14,951,395,859.83
  5. Step 5: Solve for x
    x = 14,951,395,859.83/153,614
  6. Step 6: Final answer
    x = 97,330.95

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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.