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Finding the Fourth Proportional to 177,871.60, 266,807.40 and 166,812.40

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Solution

The fourth proportional to 177,871.60, 266,807.40 and 166,812.40 is: 250,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,871.60 : 266,807.40 = 166,812.40 : x
  2. Step 2: Convert to fraction form
    177,871.60/266,807.40 = 166,812.40/x
  3. Step 3: Cross multiply
    177,871.60x = 266,807.40 × 166,812.40
  4. Step 4: Simplify right side
    177,871.60x = 44,506,782,731.76
  5. Step 5: Solve for x
    x = 44,506,782,731.76/177,871.60
  6. Step 6: Final answer
    x = 250,218.60

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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.