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Finding the Fourth Proportional to 98,133.68, 147,179.88 and 27,994.16

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Solution

The fourth proportional to 98,133.68, 147,179.88 and 27,994.16 is: 41,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,133.68 : 147,179.88 = 27,994.16 : x
  2. Step 2: Convert to fraction form
    98,133.68/147,179.88 = 27,994.16/x
  3. Step 3: Cross multiply
    98,133.68x = 147,179.88 × 27,994.16
  4. Step 4: Simplify right side
    98,133.68x = 4,120,177,109.50
  5. Step 5: Solve for x
    x = 4,120,177,109.50/98,133.68
  6. Step 6: Final answer
    x = 41,985.35

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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.