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Finding the Fourth Proportional to 140,310.30, 210,319.65 and 77,033.10

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Solution

The fourth proportional to 140,310.30, 210,319.65 and 77,033.10 is: 115,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,310.30 : 210,319.65 = 77,033.10 : x
  2. Step 2: Convert to fraction form
    140,310.30/210,319.65 = 77,033.10/x
  3. Step 3: Cross multiply
    140,310.30x = 210,319.65 × 77,033.10
  4. Step 4: Simplify right side
    140,310.30x = 16,201,574,630.42
  5. Step 5: Solve for x
    x = 16,201,574,630.42/140,310.30
  6. Step 6: Final answer
    x = 115,469.60

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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.