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Finding the Fourth Proportional to 98,564.80, 147,847.20 and 78,881.80

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Solution

The fourth proportional to 98,564.80, 147,847.20 and 78,881.80 is: 118,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.80 : 147,847.20 = 78,881.80 : x
  2. Step 2: Convert to fraction form
    98,564.80/147,847.20 = 78,881.80/x
  3. Step 3: Cross multiply
    98,564.80x = 147,847.20 × 78,881.80
  4. Step 4: Simplify right side
    98,564.80x = 11,662,453,260.96
  5. Step 5: Solve for x
    x = 11,662,453,260.96/98,564.80
  6. Step 6: Final answer
    x = 118,322.70

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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.