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Finding the Fourth Proportional to 286,560.92, 429,728.78 and 96,969.08

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Solution

The fourth proportional to 286,560.92, 429,728.78 and 96,969.08 is: 145,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,560.92 : 429,728.78 = 96,969.08 : x
  2. Step 2: Convert to fraction form
    286,560.92/429,728.78 = 96,969.08/x
  3. Step 3: Cross multiply
    286,560.92x = 429,728.78 × 96,969.08
  4. Step 4: Simplify right side
    286,560.92x = 41,670,404,446.12
  5. Step 5: Solve for x
    x = 41,670,404,446.12/286,560.92
  6. Step 6: Final answer
    x = 145,415.52

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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.