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Finding the Fourth Proportional to 142,409.44, 213,446.44 and 58,117

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Solution

The fourth proportional to 142,409.44, 213,446.44 and 58,117 is: 87,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,409.44 : 213,446.44 = 58,117 : x
  2. Step 2: Convert to fraction form
    142,409.44/213,446.44 = 58,117/x
  3. Step 3: Cross multiply
    142,409.44x = 213,446.44 × 58,117
  4. Step 4: Simplify right side
    142,409.44x = 12,404,866,753.48
  5. Step 5: Solve for x
    x = 12,404,866,753.48/142,409.44
  6. Step 6: Final answer
    x = 87,107.05

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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.