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Finding the Fourth Proportional to 312,030.30, 468,045.45 and 125,175.90

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Solution

The fourth proportional to 312,030.30, 468,045.45 and 125,175.90 is: 187,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,030.30 : 468,045.45 = 125,175.90 : x
  2. Step 2: Convert to fraction form
    312,030.30/468,045.45 = 125,175.90/x
  3. Step 3: Cross multiply
    312,030.30x = 468,045.45 × 125,175.90
  4. Step 4: Simplify right side
    312,030.30x = 58,588,010,444.66
  5. Step 5: Solve for x
    x = 58,588,010,444.66/312,030.30
  6. Step 6: Final answer
    x = 187,763.85

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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.