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Finding the Fourth Proportional to 142,329.60, 213,498.72 and 48,834

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Solution

The fourth proportional to 142,329.60, 213,498.72 and 48,834 is: 73,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,329.60 : 213,498.72 = 48,834 : x
  2. Step 2: Convert to fraction form
    142,329.60/213,498.72 = 48,834/x
  3. Step 3: Cross multiply
    142,329.60x = 213,498.72 × 48,834
  4. Step 4: Simplify right side
    142,329.60x = 10,425,996,492.48
  5. Step 5: Solve for x
    x = 10,425,996,492.48/142,329.60
  6. Step 6: Final answer
    x = 73,252.48

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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.