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Finding the Fourth Proportional to 77,023.20, 115,405.20 and 65,877.60

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Solution

The fourth proportional to 77,023.20, 115,405.20 and 65,877.60 is: 98,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023.20 : 115,405.20 = 65,877.60 : x
  2. Step 2: Convert to fraction form
    77,023.20/115,405.20 = 65,877.60/x
  3. Step 3: Cross multiply
    77,023.20x = 115,405.20 × 65,877.60
  4. Step 4: Simplify right side
    77,023.20x = 7,602,617,603.52
  5. Step 5: Solve for x
    x = 7,602,617,603.52/77,023.20
  6. Step 6: Final answer
    x = 98,705.55

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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.