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Finding the Fourth Proportional to 403,332.40, 605,056.20 and 137,105.20

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Solution

The fourth proportional to 403,332.40, 605,056.20 and 137,105.20 is: 205,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,332.40 : 605,056.20 = 137,105.20 : x
  2. Step 2: Convert to fraction form
    403,332.40/605,056.20 = 137,105.20/x
  3. Step 3: Cross multiply
    403,332.40x = 605,056.20 × 137,105.20
  4. Step 4: Simplify right side
    403,332.40x = 82,956,351,312.24
  5. Step 5: Solve for x
    x = 82,956,351,312.24/403,332.40
  6. Step 6: Final answer
    x = 205,677.38

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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.