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Finding the Fourth Proportional to 98,019.84, 147,224.16 and 83,974.44

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Solution

The fourth proportional to 98,019.84, 147,224.16 and 83,974.44 is: 126,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.84 : 147,224.16 = 83,974.44 : x
  2. Step 2: Convert to fraction form
    98,019.84/147,224.16 = 83,974.44/x
  3. Step 3: Cross multiply
    98,019.84x = 147,224.16 × 83,974.44
  4. Step 4: Simplify right side
    98,019.84x = 12,363,066,390.47
  5. Step 5: Solve for x
    x = 12,363,066,390.47/98,019.84
  6. Step 6: Final answer
    x = 126,128.20

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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.