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Finding the Fourth Proportional to 98,506.86, 147,820.26 and 36,182.22

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Solution

The fourth proportional to 98,506.86, 147,820.26 and 36,182.22 is: 54,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,506.86 : 147,820.26 = 36,182.22 : x
  2. Step 2: Convert to fraction form
    98,506.86/147,820.26 = 36,182.22/x
  3. Step 3: Cross multiply
    98,506.86x = 147,820.26 × 36,182.22
  4. Step 4: Simplify right side
    98,506.86x = 5,348,465,167.78
  5. Step 5: Solve for x
    x = 5,348,465,167.78/98,506.86
  6. Step 6: Final answer
    x = 54,295.36

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1.5x scale

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.