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Finding the Fourth Proportional to 205,646.80, 308,567.40 and 87,419.20

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Solution

The fourth proportional to 205,646.80, 308,567.40 and 87,419.20 is: 131,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,646.80 : 308,567.40 = 87,419.20 : x
  2. Step 2: Convert to fraction form
    205,646.80/308,567.40 = 87,419.20/x
  3. Step 3: Cross multiply
    205,646.80x = 308,567.40 × 87,419.20
  4. Step 4: Simplify right side
    205,646.80x = 26,974,715,254.08
  5. Step 5: Solve for x
    x = 26,974,715,254.08/205,646.80
  6. Step 6: Final answer
    x = 131,170.12

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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.