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Finding the Fourth Proportional to 136,097.72, 187,823.34 and 75,681.86

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Solution

The fourth proportional to 136,097.72, 187,823.34 and 75,681.86 is: 104,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,097.72 : 187,823.34 = 75,681.86 : x
  2. Step 2: Convert to fraction form
    136,097.72/187,823.34 = 75,681.86/x
  3. Step 3: Cross multiply
    136,097.72x = 187,823.34 × 75,681.86
  4. Step 4: Simplify right side
    136,097.72x = 14,214,819,722.61
  5. Step 5: Solve for x
    x = 14,214,819,722.61/136,097.72
  6. Step 6: Final answer
    x = 104,445.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.