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Finding the Fourth Proportional to 78,146.50, 117,239.19 and 22,742.50

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Solution

The fourth proportional to 78,146.50, 117,239.19 and 22,742.50 is: 34,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146.50 : 117,239.19 = 22,742.50 : x
  2. Step 2: Convert to fraction form
    78,146.50/117,239.19 = 22,742.50/x
  3. Step 3: Cross multiply
    78,146.50x = 117,239.19 × 22,742.50
  4. Step 4: Simplify right side
    78,146.50x = 2,666,312,278.58
  5. Step 5: Solve for x
    x = 2,666,312,278.58/78,146.50
  6. Step 6: Final answer
    x = 34,119.41

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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.