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Finding the Fourth Proportional to 77,005.20, 115,378.20 and 65,859.60

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Solution

The fourth proportional to 77,005.20, 115,378.20 and 65,859.60 is: 98,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,005.20 : 115,378.20 = 65,859.60 : x
  2. Step 2: Convert to fraction form
    77,005.20/115,378.20 = 65,859.60/x
  3. Step 3: Cross multiply
    77,005.20x = 115,378.20 × 65,859.60
  4. Step 4: Simplify right side
    77,005.20x = 7,598,762,100.72
  5. Step 5: Solve for x
    x = 7,598,762,100.72/77,005.20
  6. Step 6: Final answer
    x = 98,678.56

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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.