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Finding the Fourth Proportional to 98,878.36, 148,214.38 and 48,927.28

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Solution

The fourth proportional to 98,878.36, 148,214.38 and 48,927.28 is: 73,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878.36 : 148,214.38 = 48,927.28 : x
  2. Step 2: Convert to fraction form
    98,878.36/148,214.38 = 48,927.28/x
  3. Step 3: Cross multiply
    98,878.36x = 148,214.38 × 48,927.28
  4. Step 4: Simplify right side
    98,878.36x = 7,251,726,470.29
  5. Step 5: Solve for x
    x = 7,251,726,470.29/98,878.36
  6. Step 6: Final answer
    x = 73,339.87

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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.