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Finding the Fourth Proportional to 78,002.70, 117,004.05 and 74,722.20

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Solution

The fourth proportional to 78,002.70, 117,004.05 and 74,722.20 is: 112,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.70 : 117,004.05 = 74,722.20 : x
  2. Step 2: Convert to fraction form
    78,002.70/117,004.05 = 74,722.20/x
  3. Step 3: Cross multiply
    78,002.70x = 117,004.05 × 74,722.20
  4. Step 4: Simplify right side
    78,002.70x = 8,742,800,024.91
  5. Step 5: Solve for x
    x = 8,742,800,024.91/78,002.70
  6. Step 6: Final answer
    x = 112,083.30

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1.5x scale

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.