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Finding the Fourth Proportional to 78,002.70, 117,004.05 and 76,836.30

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Solution

The fourth proportional to 78,002.70, 117,004.05 and 76,836.30 is: 115,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.70 : 117,004.05 = 76,836.30 : x
  2. Step 2: Convert to fraction form
    78,002.70/117,004.05 = 76,836.30/x
  3. Step 3: Cross multiply
    78,002.70x = 117,004.05 × 76,836.30
  4. Step 4: Simplify right side
    78,002.70x = 8,990,158,287.02
  5. Step 5: Solve for x
    x = 8,990,158,287.02/78,002.70
  6. Step 6: Final answer
    x = 115,254.45

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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.