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Finding the Fourth Proportional to 177,817.40, 266,871.90 and 171,985.40

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Solution

The fourth proportional to 177,817.40, 266,871.90 and 171,985.40 is: 258,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,817.40 : 266,871.90 = 171,985.40 : x
  2. Step 2: Convert to fraction form
    177,817.40/266,871.90 = 171,985.40/x
  3. Step 3: Cross multiply
    177,817.40x = 266,871.90 × 171,985.40
  4. Step 4: Simplify right side
    177,817.40x = 45,898,070,470.26
  5. Step 5: Solve for x
    x = 45,898,070,470.26/177,817.40
  6. Step 6: Final answer
    x = 258,119.12

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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.