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Finding the Fourth Proportional to 287,761.83, 431,626.95 and 88,082.06

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Solution

The fourth proportional to 287,761.83, 431,626.95 and 88,082.06 is: 132,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,761.83 : 431,626.95 = 88,082.06 : x
  2. Step 2: Convert to fraction form
    287,761.83/431,626.95 = 88,082.06/x
  3. Step 3: Cross multiply
    287,761.83x = 431,626.95 × 88,082.06
  4. Step 4: Simplify right side
    287,761.83x = 38,018,588,749.38
  5. Step 5: Solve for x
    x = 38,018,588,749.38/287,761.83
  6. Step 6: Final answer
    x = 132,118.25

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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.