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Finding the Fourth Proportional to 177,432.80, 265,501.20 and 130,776.80

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Solution

The fourth proportional to 177,432.80, 265,501.20 and 130,776.80 is: 195,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,432.80 : 265,501.20 = 130,776.80 : x
  2. Step 2: Convert to fraction form
    177,432.80/265,501.20 = 130,776.80/x
  3. Step 3: Cross multiply
    177,432.80x = 265,501.20 × 130,776.80
  4. Step 4: Simplify right side
    177,432.80x = 34,721,397,332.16
  5. Step 5: Solve for x
    x = 34,721,397,332.16/177,432.80
  6. Step 6: Final answer
    x = 195,687.59

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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.