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Finding the Fourth Proportional to 140,175.92, 210,291.52 and 51,430.24

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Solution

The fourth proportional to 140,175.92, 210,291.52 and 51,430.24 is: 77,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,175.92 : 210,291.52 = 51,430.24 : x
  2. Step 2: Convert to fraction form
    140,175.92/210,291.52 = 51,430.24/x
  3. Step 3: Cross multiply
    140,175.92x = 210,291.52 × 51,430.24
  4. Step 4: Simplify right side
    140,175.92x = 10,815,343,343.56
  5. Step 5: Solve for x
    x = 10,815,343,343.56/140,175.92
  6. Step 6: Final answer
    x = 77,155.50

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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.