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Finding the Fourth Proportional to 178,000.58, 266,959.33 and 51,606.90

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Solution

The fourth proportional to 178,000.58, 266,959.33 and 51,606.90 is: 77,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,000.58 : 266,959.33 = 51,606.90 : x
  2. Step 2: Convert to fraction form
    178,000.58/266,959.33 = 51,606.90/x
  3. Step 3: Cross multiply
    178,000.58x = 266,959.33 × 51,606.90
  4. Step 4: Simplify right side
    178,000.58x = 13,776,943,108.10
  5. Step 5: Solve for x
    x = 13,776,943,108.10/178,000.58
  6. Step 6: Final answer
    x = 77,398.31

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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.