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Finding the Fourth Proportional to 205,459.13, 308,217.96 and 63,316.08

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Solution

The fourth proportional to 205,459.13, 308,217.96 and 63,316.08 is: 94,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,459.13 : 308,217.96 = 63,316.08 : x
  2. Step 2: Convert to fraction form
    205,459.13/308,217.96 = 63,316.08/x
  3. Step 3: Cross multiply
    205,459.13x = 308,217.96 × 63,316.08
  4. Step 4: Simplify right side
    205,459.13x = 19,515,153,012.80
  5. Step 5: Solve for x
    x = 19,515,153,012.80/205,459.13
  6. Step 6: Final answer
    x = 94,983.14

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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.