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Finding the Fourth Proportional to 200,752.86, 301,157.88 and 65,788.02

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Solution

The fourth proportional to 200,752.86, 301,157.88 and 65,788.02 is: 98,691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,752.86 : 301,157.88 = 65,788.02 : x
  2. Step 2: Convert to fraction form
    200,752.86/301,157.88 = 65,788.02/x
  3. Step 3: Cross multiply
    200,752.86x = 301,157.88 × 65,788.02
  4. Step 4: Simplify right side
    200,752.86x = 19,812,580,632.60
  5. Step 5: Solve for x
    x = 19,812,580,632.60/200,752.86
  6. Step 6: Final answer
    x = 98,691.40

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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.