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Finding the Fourth Proportional to 132,562.50, 182,936.25 and 72,946.50

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Solution

The fourth proportional to 132,562.50, 182,936.25 and 72,946.50 is: 100,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,562.50 : 182,936.25 = 72,946.50 : x
  2. Step 2: Convert to fraction form
    132,562.50/182,936.25 = 72,946.50/x
  3. Step 3: Cross multiply
    132,562.50x = 182,936.25 × 72,946.50
  4. Step 4: Simplify right side
    132,562.50x = 13,344,559,160.63
  5. Step 5: Solve for x
    x = 13,344,559,160.63/132,562.50
  6. Step 6: Final answer
    x = 100,666.17

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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.