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Finding the Fourth Proportional to 142,483.87, 213,747.68 and 48,967.75

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Solution

The fourth proportional to 142,483.87, 213,747.68 and 48,967.75 is: 73,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,483.87 : 213,747.68 = 48,967.75 : x
  2. Step 2: Convert to fraction form
    142,483.87/213,747.68 = 48,967.75/x
  3. Step 3: Cross multiply
    142,483.87x = 213,747.68 × 48,967.75
  4. Step 4: Simplify right side
    142,483.87x = 10,466,742,957.32
  5. Step 5: Solve for x
    x = 10,466,742,957.32/142,483.87
  6. Step 6: Final answer
    x = 73,459.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.