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Finding the Fourth Proportional to 98,103, 147,155.90 and 27,982.34

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Solution

The fourth proportional to 98,103, 147,155.90 and 27,982.34 is: 41,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,103 : 147,155.90 = 27,982.34 : x
  2. Step 2: Convert to fraction form
    98,103/147,155.90 = 27,982.34/x
  3. Step 3: Cross multiply
    98,103x = 147,155.90 × 27,982.34
  4. Step 4: Simplify right side
    98,103x = 4,117,765,551.11
  5. Step 5: Solve for x
    x = 4,117,765,551.11/98,103
  6. Step 6: Final answer
    x = 41,973.90

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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.