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Finding the Fourth Proportional to 120,004.16, 180,006.17 and 31,257.45

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Solution

The fourth proportional to 120,004.16, 180,006.17 and 31,257.45 is: 46,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004.16 : 180,006.17 = 31,257.45 : x
  2. Step 2: Convert to fraction form
    120,004.16/180,006.17 = 31,257.45/x
  3. Step 3: Cross multiply
    120,004.16x = 180,006.17 × 31,257.45
  4. Step 4: Simplify right side
    120,004.16x = 5,626,533,702.18
  5. Step 5: Solve for x
    x = 5,626,533,702.18/120,004.16
  6. Step 6: Final answer
    x = 46,886.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.