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Finding the Fourth Proportional to 98,205.65, 147,373.07 and 53,863.50

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Solution

The fourth proportional to 98,205.65, 147,373.07 and 53,863.50 is: 80,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205.65 : 147,373.07 = 53,863.50 : x
  2. Step 2: Convert to fraction form
    98,205.65/147,373.07 = 53,863.50/x
  3. Step 3: Cross multiply
    98,205.65x = 147,373.07 × 53,863.50
  4. Step 4: Simplify right side
    98,205.65x = 7,938,029,086.63
  5. Step 5: Solve for x
    x = 7,938,029,086.63/98,205.65
  6. Step 6: Final answer
    x = 80,830.68

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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.