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Finding the Fourth Proportional to 142,416.30, 213,643.65 and 48,950.70

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Solution

The fourth proportional to 142,416.30, 213,643.65 and 48,950.70 is: 73,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416.30 : 213,643.65 = 48,950.70 : x
  2. Step 2: Convert to fraction form
    142,416.30/213,643.65 = 48,950.70/x
  3. Step 3: Cross multiply
    142,416.30x = 213,643.65 × 48,950.70
  4. Step 4: Simplify right side
    142,416.30x = 10,458,006,218.06
  5. Step 5: Solve for x
    x = 10,458,006,218.06/142,416.30
  6. Step 6: Final answer
    x = 73,432.65

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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.