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Finding the Fourth Proportional to 98,833.68, 136,380.24 and 56,384

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Solution

The fourth proportional to 98,833.68, 136,380.24 and 56,384 is: 77,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833.68 : 136,380.24 = 56,384 : x
  2. Step 2: Convert to fraction form
    98,833.68/136,380.24 = 56,384/x
  3. Step 3: Cross multiply
    98,833.68x = 136,380.24 × 56,384
  4. Step 4: Simplify right side
    98,833.68x = 7,689,663,452.16
  5. Step 5: Solve for x
    x = 7,689,663,452.16/98,833.68
  6. Step 6: Final answer
    x = 77,804.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.