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Finding the Fourth Proportional to 177,761.40, 266,787.90 and 171,929.40

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Solution

The fourth proportional to 177,761.40, 266,787.90 and 171,929.40 is: 258,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,761.40 : 266,787.90 = 171,929.40 : x
  2. Step 2: Convert to fraction form
    177,761.40/266,787.90 = 171,929.40/x
  3. Step 3: Cross multiply
    177,761.40x = 266,787.90 × 171,929.40
  4. Step 4: Simplify right side
    177,761.40x = 45,868,683,574.26
  5. Step 5: Solve for x
    x = 45,868,683,574.26/177,761.40
  6. Step 6: Final answer
    x = 258,035.12

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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.