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Finding the Fourth Proportional to 142,345.90, 213,446.30 and 47,541.98

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Solution

The fourth proportional to 142,345.90, 213,446.30 and 47,541.98 is: 71,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,345.90 : 213,446.30 = 47,541.98 : x
  2. Step 2: Convert to fraction form
    142,345.90/213,446.30 = 47,541.98/x
  3. Step 3: Cross multiply
    142,345.90x = 213,446.30 × 47,541.98
  4. Step 4: Simplify right side
    142,345.90x = 10,147,659,725.67
  5. Step 5: Solve for x
    x = 10,147,659,725.67/142,345.90
  6. Step 6: Final answer
    x = 71,288.74

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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.