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Finding the Fourth Proportional to 98,524.68, 147,785.59 and 66,856.11

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Solution

The fourth proportional to 98,524.68, 147,785.59 and 66,856.11 is: 100,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524.68 : 147,785.59 = 66,856.11 : x
  2. Step 2: Convert to fraction form
    98,524.68/147,785.59 = 66,856.11/x
  3. Step 3: Cross multiply
    98,524.68x = 147,785.59 × 66,856.11
  4. Step 4: Simplify right side
    98,524.68x = 9,880,369,661.45
  5. Step 5: Solve for x
    x = 9,880,369,661.45/98,524.68
  6. Step 6: Final answer
    x = 100,283.19

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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.