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Finding the Fourth Proportional to 98,952.71, 148,078.69 and 61,530.41

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Solution

The fourth proportional to 98,952.71, 148,078.69 and 61,530.41 is: 92,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,952.71 : 148,078.69 = 61,530.41 : x
  2. Step 2: Convert to fraction form
    98,952.71/148,078.69 = 61,530.41/x
  3. Step 3: Cross multiply
    98,952.71x = 148,078.69 × 61,530.41
  4. Step 4: Simplify right side
    98,952.71x = 9,111,341,613.74
  5. Step 5: Solve for x
    x = 9,111,341,613.74/98,952.71
  6. Step 6: Final answer
    x = 92,077.74

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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.