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Finding the Fourth Proportional to 177,989.58, 266,838.01 and 83,172.87

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Solution

The fourth proportional to 177,989.58, 266,838.01 and 83,172.87 is: 124,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,989.58 : 266,838.01 = 83,172.87 : x
  2. Step 2: Convert to fraction form
    177,989.58/266,838.01 = 83,172.87/x
  3. Step 3: Cross multiply
    177,989.58x = 266,838.01 × 83,172.87
  4. Step 4: Simplify right side
    177,989.58x = 22,193,683,116.79
  5. Step 5: Solve for x
    x = 22,193,683,116.79/177,989.58
  6. Step 6: Final answer
    x = 124,690.91

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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.