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Finding the Fourth Proportional to 177,535.80, 266,498.10 and 98,803.80

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Solution

The fourth proportional to 177,535.80, 266,498.10 and 98,803.80 is: 148,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,535.80 : 266,498.10 = 98,803.80 : x
  2. Step 2: Convert to fraction form
    177,535.80/266,498.10 = 98,803.80/x
  3. Step 3: Cross multiply
    177,535.80x = 266,498.10 × 98,803.80
  4. Step 4: Simplify right side
    177,535.80x = 26,331,024,972.78
  5. Step 5: Solve for x
    x = 26,331,024,972.78/177,535.80
  6. Step 6: Final answer
    x = 148,313.89

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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.