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Finding the Fourth Proportional to 98,119.32, 147,180.36 and 27,998.64

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Solution

The fourth proportional to 98,119.32, 147,180.36 and 27,998.64 is: 41,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,119.32 : 147,180.36 = 27,998.64 : x
  2. Step 2: Convert to fraction form
    98,119.32/147,180.36 = 27,998.64/x
  3. Step 3: Cross multiply
    98,119.32x = 147,180.36 × 27,998.64
  4. Step 4: Simplify right side
    98,119.32x = 4,120,849,914.71
  5. Step 5: Solve for x
    x = 4,120,849,914.71/98,119.32
  6. Step 6: Final answer
    x = 41,998.35

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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.