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Finding the Fourth Proportional to 130,860.50, 180,587.50 and 71,244.50

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Solution

The fourth proportional to 130,860.50, 180,587.50 and 71,244.50 is: 98,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,860.50 : 180,587.50 = 71,244.50 : x
  2. Step 2: Convert to fraction form
    130,860.50/180,587.50 = 71,244.50/x
  3. Step 3: Cross multiply
    130,860.50x = 180,587.50 × 71,244.50
  4. Step 4: Simplify right side
    130,860.50x = 12,865,866,143.75
  5. Step 5: Solve for x
    x = 12,865,866,143.75/130,860.50
  6. Step 6: Final answer
    x = 98,317.42

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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.