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Finding the Fourth Proportional to 98,078.56, 147,118.16 and 27,002.16

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Solution

The fourth proportional to 98,078.56, 147,118.16 and 27,002.16 is: 40,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.56 : 147,118.16 = 27,002.16 : x
  2. Step 2: Convert to fraction form
    98,078.56/147,118.16 = 27,002.16/x
  3. Step 3: Cross multiply
    98,078.56x = 147,118.16 × 27,002.16
  4. Step 4: Simplify right side
    98,078.56x = 3,972,508,095.23
  5. Step 5: Solve for x
    x = 3,972,508,095.23/98,078.56
  6. Step 6: Final answer
    x = 40,503.33

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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.