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Finding the Fourth Proportional to 178,053.80, 267,080.70 and 158,700.20

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Solution

The fourth proportional to 178,053.80, 267,080.70 and 158,700.20 is: 238,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,053.80 : 267,080.70 = 158,700.20 : x
  2. Step 2: Convert to fraction form
    178,053.80/267,080.70 = 158,700.20/x
  3. Step 3: Cross multiply
    178,053.80x = 267,080.70 × 158,700.20
  4. Step 4: Simplify right side
    178,053.80x = 42,385,760,506.14
  5. Step 5: Solve for x
    x = 42,385,760,506.14/178,053.80
  6. Step 6: Final answer
    x = 238,050.30

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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.