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Finding the Fourth Proportional to 157,801.68, 236,243.16 and 82,743.84

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Solution

The fourth proportional to 157,801.68, 236,243.16 and 82,743.84 is: 123,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,801.68 : 236,243.16 = 82,743.84 : x
  2. Step 2: Convert to fraction form
    157,801.68/236,243.16 = 82,743.84/x
  3. Step 3: Cross multiply
    157,801.68x = 236,243.16 × 82,743.84
  4. Step 4: Simplify right side
    157,801.68x = 19,547,666,232.13
  5. Step 5: Solve for x
    x = 19,547,666,232.13/157,801.68
  6. Step 6: Final answer
    x = 123,874.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.