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Finding the Fourth Proportional to 205,019.42, 307,551 and 86,702.72

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Solution

The fourth proportional to 205,019.42, 307,551 and 86,702.72 is: 130,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.42 : 307,551 = 86,702.72 : x
  2. Step 2: Convert to fraction form
    205,019.42/307,551 = 86,702.72/x
  3. Step 3: Cross multiply
    205,019.42x = 307,551 × 86,702.72
  4. Step 4: Simplify right side
    205,019.42x = 26,665,506,700.97
  5. Step 5: Solve for x
    x = 26,665,506,700.97/205,019.42
  6. Step 6: Final answer
    x = 130,063.32

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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.