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Finding the Fourth Proportional to 215,322.60, 322,868.70 and 75,085.80

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Solution

The fourth proportional to 215,322.60, 322,868.70 and 75,085.80 is: 112,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,322.60 : 322,868.70 = 75,085.80 : x
  2. Step 2: Convert to fraction form
    215,322.60/322,868.70 = 75,085.80/x
  3. Step 3: Cross multiply
    215,322.60x = 322,868.70 × 75,085.80
  4. Step 4: Simplify right side
    215,322.60x = 24,242,854,634.46
  5. Step 5: Solve for x
    x = 24,242,854,634.46/215,322.60
  6. Step 6: Final answer
    x = 112,588.53

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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.