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Finding the Fourth Proportional to 151,562.53, 209,151.48 and 83,582.37

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Solution

The fourth proportional to 151,562.53, 209,151.48 and 83,582.37 is: 115,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,562.53 : 209,151.48 = 83,582.37 : x
  2. Step 2: Convert to fraction form
    151,562.53/209,151.48 = 83,582.37/x
  3. Step 3: Cross multiply
    151,562.53x = 209,151.48 × 83,582.37
  4. Step 4: Simplify right side
    151,562.53x = 17,481,376,387.41
  5. Step 5: Solve for x
    x = 17,481,376,387.41/151,562.53
  6. Step 6: Final answer
    x = 115,341.02

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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.