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Finding the Fourth Proportional to 157,102.56, 236,047.50 and 147,654.72

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Solution

The fourth proportional to 157,102.56, 236,047.50 and 147,654.72 is: 221,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102.56 : 236,047.50 = 147,654.72 : x
  2. Step 2: Convert to fraction form
    157,102.56/236,047.50 = 147,654.72/x
  3. Step 3: Cross multiply
    157,102.56x = 236,047.50 × 147,654.72
  4. Step 4: Simplify right side
    157,102.56x = 34,853,527,519.20
  5. Step 5: Solve for x
    x = 34,853,527,519.20/157,102.56
  6. Step 6: Final answer
    x = 221,852.07

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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.