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Finding the Fourth Proportional to 98,719.52, 148,076.82 and 46,187.78

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Solution

The fourth proportional to 98,719.52, 148,076.82 and 46,187.78 is: 69,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,719.52 : 148,076.82 = 46,187.78 : x
  2. Step 2: Convert to fraction form
    98,719.52/148,076.82 = 46,187.78/x
  3. Step 3: Cross multiply
    98,719.52x = 148,076.82 × 46,187.78
  4. Step 4: Simplify right side
    98,719.52x = 6,839,339,585.26
  5. Step 5: Solve for x
    x = 6,839,339,585.26/98,719.52
  6. Step 6: Final answer
    x = 69,280.52

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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.