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Finding the Fourth Proportional to 107,159.60, 160,727.09 and 28,279.98

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Solution

The fourth proportional to 107,159.60, 160,727.09 and 28,279.98 is: 42,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,159.60 : 160,727.09 = 28,279.98 : x
  2. Step 2: Convert to fraction form
    107,159.60/160,727.09 = 28,279.98/x
  3. Step 3: Cross multiply
    107,159.60x = 160,727.09 × 28,279.98
  4. Step 4: Simplify right side
    107,159.60x = 4,545,358,749.26
  5. Step 5: Solve for x
    x = 4,545,358,749.26/107,159.60
  6. Step 6: Final answer
    x = 42,416.72

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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.