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Finding the Fourth Proportional to 103,713.60, 155,461.05 and 40,509.30

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Solution

The fourth proportional to 103,713.60, 155,461.05 and 40,509.30 is: 60,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,713.60 : 155,461.05 = 40,509.30 : x
  2. Step 2: Convert to fraction form
    103,713.60/155,461.05 = 40,509.30/x
  3. Step 3: Cross multiply
    103,713.60x = 155,461.05 × 40,509.30
  4. Step 4: Simplify right side
    103,713.60x = 6,297,618,312.77
  5. Step 5: Solve for x
    x = 6,297,618,312.77/103,713.60
  6. Step 6: Final answer
    x = 60,721.24

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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.