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Finding the Fourth Proportional to 151,495.68, 209,063.96 and 83,513.76

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Solution

The fourth proportional to 151,495.68, 209,063.96 and 83,513.76 is: 115,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,495.68 : 209,063.96 = 83,513.76 : x
  2. Step 2: Convert to fraction form
    151,495.68/209,063.96 = 83,513.76/x
  3. Step 3: Cross multiply
    151,495.68x = 209,063.96 × 83,513.76
  4. Step 4: Simplify right side
    151,495.68x = 17,459,717,380.09
  5. Step 5: Solve for x
    x = 17,459,717,380.09/151,495.68
  6. Step 6: Final answer
    x = 115,248.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.