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Finding the Fourth Proportional to 151,429.81, 208,972.70 and 83,446.76

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Solution

The fourth proportional to 151,429.81, 208,972.70 and 83,446.76 is: 115,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,429.81 : 208,972.70 = 83,446.76 : x
  2. Step 2: Convert to fraction form
    151,429.81/208,972.70 = 83,446.76/x
  3. Step 3: Cross multiply
    151,429.81x = 208,972.70 × 83,446.76
  4. Step 4: Simplify right side
    151,429.81x = 17,438,095,630.96
  5. Step 5: Solve for x
    x = 17,438,095,630.96/151,429.81
  6. Step 6: Final answer
    x = 115,156.29

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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.