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Finding the Fourth Proportional to 157,522, 236,352.60 and 82,624.24

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Solution

The fourth proportional to 157,522, 236,352.60 and 82,624.24 is: 123,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,522 : 236,352.60 = 82,624.24 : x
  2. Step 2: Convert to fraction form
    157,522/236,352.60 = 82,624.24/x
  3. Step 3: Cross multiply
    157,522x = 236,352.60 × 82,624.24
  4. Step 4: Simplify right side
    157,522x = 19,528,453,947.02
  5. Step 5: Solve for x
    x = 19,528,453,947.02/157,522
  6. Step 6: Final answer
    x = 123,972.87

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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.