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Finding the Fourth Proportional to 85,853.80, 128,416.20 and 77,032.90

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Solution

The fourth proportional to 85,853.80, 128,416.20 and 77,032.90 is: 115,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,853.80 : 128,416.20 = 77,032.90 : x
  2. Step 2: Convert to fraction form
    85,853.80/128,416.20 = 77,032.90/x
  3. Step 3: Cross multiply
    85,853.80x = 128,416.20 × 77,032.90
  4. Step 4: Simplify right side
    85,853.80x = 9,892,272,292.98
  5. Step 5: Solve for x
    x = 9,892,272,292.98/85,853.80
  6. Step 6: Final answer
    x = 115,222.30

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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.