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Finding the Fourth Proportional to 147,527.90, 203,553.50 and 83,860.68

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Solution

The fourth proportional to 147,527.90, 203,553.50 and 83,860.68 is: 115,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,527.90 : 203,553.50 = 83,860.68 : x
  2. Step 2: Convert to fraction form
    147,527.90/203,553.50 = 83,860.68/x
  3. Step 3: Cross multiply
    147,527.90x = 203,553.50 × 83,860.68
  4. Step 4: Simplify right side
    147,527.90x = 17,070,134,926.38
  5. Step 5: Solve for x
    x = 17,070,134,926.38/147,527.90
  6. Step 6: Final answer
    x = 115,707.84

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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.