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Finding the Fourth Proportional to 130,142.55, 179,595.46 and 72,781.22

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Solution

The fourth proportional to 130,142.55, 179,595.46 and 72,781.22 is: 100,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,142.55 : 179,595.46 = 72,781.22 : x
  2. Step 2: Convert to fraction form
    130,142.55/179,595.46 = 72,781.22/x
  3. Step 3: Cross multiply
    130,142.55x = 179,595.46 × 72,781.22
  4. Step 4: Simplify right side
    130,142.55x = 13,071,176,685.26
  5. Step 5: Solve for x
    x = 13,071,176,685.26/130,142.55
  6. Step 6: Final answer
    x = 100,437.38

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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.