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Finding the Fourth Proportional to 178,079.76, 267,133.59 and 51,722.10

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Solution

The fourth proportional to 178,079.76, 267,133.59 and 51,722.10 is: 77,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,079.76 : 267,133.59 = 51,722.10 : x
  2. Step 2: Convert to fraction form
    178,079.76/267,133.59 = 51,722.10/x
  3. Step 3: Cross multiply
    178,079.76x = 267,133.59 × 51,722.10
  4. Step 4: Simplify right side
    178,079.76x = 13,816,710,255.34
  5. Step 5: Solve for x
    x = 13,816,710,255.34/178,079.76
  6. Step 6: Final answer
    x = 77,587.20

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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.