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Finding the Fourth Proportional to 142,122.52, 212,950.50 and 48,577.24

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Solution

The fourth proportional to 142,122.52, 212,950.50 and 48,577.24 is: 72,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122.52 : 212,950.50 = 48,577.24 : x
  2. Step 2: Convert to fraction form
    142,122.52/212,950.50 = 48,577.24/x
  3. Step 3: Cross multiply
    142,122.52x = 212,950.50 × 48,577.24
  4. Step 4: Simplify right side
    142,122.52x = 10,344,547,546.62
  5. Step 5: Solve for x
    x = 10,344,547,546.62/142,122.52
  6. Step 6: Final answer
    x = 72,786.13

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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.