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Finding the Fourth Proportional to 177,705.80, 266,040.30 and 159,043.40

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Solution

The fourth proportional to 177,705.80, 266,040.30 and 159,043.40 is: 238,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,705.80 : 266,040.30 = 159,043.40 : x
  2. Step 2: Convert to fraction form
    177,705.80/266,040.30 = 159,043.40/x
  3. Step 3: Cross multiply
    177,705.80x = 266,040.30 × 159,043.40
  4. Step 4: Simplify right side
    177,705.80x = 42,311,953,849.02
  5. Step 5: Solve for x
    x = 42,311,953,849.02/177,705.80
  6. Step 6: Final answer
    x = 238,101.14

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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.