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Finding the Fourth Proportional to 177,664.80, 265,978.80 and 159,002.40

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Solution

The fourth proportional to 177,664.80, 265,978.80 and 159,002.40 is: 238,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,664.80 : 265,978.80 = 159,002.40 : x
  2. Step 2: Convert to fraction form
    177,664.80/265,978.80 = 159,002.40/x
  3. Step 3: Cross multiply
    177,664.80x = 265,978.80 × 159,002.40
  4. Step 4: Simplify right side
    177,664.80x = 42,291,267,549.12
  5. Step 5: Solve for x
    x = 42,291,267,549.12/177,664.80
  6. Step 6: Final answer
    x = 238,039.65

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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.