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Finding the Fourth Proportional to 100,827.60, 151,241.40 and 65,806.80

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Solution

The fourth proportional to 100,827.60, 151,241.40 and 65,806.80 is: 98,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,827.60 : 151,241.40 = 65,806.80 : x
  2. Step 2: Convert to fraction form
    100,827.60/151,241.40 = 65,806.80/x
  3. Step 3: Cross multiply
    100,827.60x = 151,241.40 × 65,806.80
  4. Step 4: Simplify right side
    100,827.60x = 9,952,712,561.52
  5. Step 5: Solve for x
    x = 9,952,712,561.52/100,827.60
  6. Step 6: Final answer
    x = 98,710.20

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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.