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Finding the Fourth Proportional to 130,657.86, 195,986.07 and 47,551.86

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Solution

The fourth proportional to 130,657.86, 195,986.07 and 47,551.86 is: 71,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,657.86 : 195,986.07 = 47,551.86 : x
  2. Step 2: Convert to fraction form
    130,657.86/195,986.07 = 47,551.86/x
  3. Step 3: Cross multiply
    130,657.86x = 195,986.07 × 47,551.86
  4. Step 4: Simplify right side
    130,657.86x = 9,319,502,162.59
  5. Step 5: Solve for x
    x = 9,319,502,162.59/130,657.86
  6. Step 6: Final answer
    x = 71,327.53

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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.