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Finding the Fourth Proportional to 178,248.30, 266,999.85 and 83,559.30

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Solution

The fourth proportional to 178,248.30, 266,999.85 and 83,559.30 is: 125,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,248.30 : 266,999.85 = 83,559.30 : x
  2. Step 2: Convert to fraction form
    178,248.30/266,999.85 = 83,559.30/x
  3. Step 3: Cross multiply
    178,248.30x = 266,999.85 × 83,559.30
  4. Step 4: Simplify right side
    178,248.30x = 22,310,320,566.11
  5. Step 5: Solve for x
    x = 22,310,320,566.11/178,248.30
  6. Step 6: Final answer
    x = 125,164.28

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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.