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Finding the Fourth Proportional to 177,740.80, 266,092.80 and 159,078.40

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Solution

The fourth proportional to 177,740.80, 266,092.80 and 159,078.40 is: 238,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,740.80 : 266,092.80 = 159,078.40 : x
  2. Step 2: Convert to fraction form
    177,740.80/266,092.80 = 159,078.40/x
  3. Step 3: Cross multiply
    177,740.80x = 266,092.80 × 159,078.40
  4. Step 4: Simplify right side
    177,740.80x = 42,329,616,875.52
  5. Step 5: Solve for x
    x = 42,329,616,875.52/177,740.80
  6. Step 6: Final answer
    x = 238,153.63

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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.