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Finding the Fourth Proportional to 110,684.16, 152,697.60 and 77,169.60

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Solution

The fourth proportional to 110,684.16, 152,697.60 and 77,169.60 is: 106,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,684.16 : 152,697.60 = 77,169.60 : x
  2. Step 2: Convert to fraction form
    110,684.16/152,697.60 = 77,169.60/x
  3. Step 3: Cross multiply
    110,684.16x = 152,697.60 × 77,169.60
  4. Step 4: Simplify right side
    110,684.16x = 11,783,612,712.96
  5. Step 5: Solve for x
    x = 11,783,612,712.96/110,684.16
  6. Step 6: Final answer
    x = 106,461.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.