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Finding the Fourth Proportional to 192,117.84, 288,176.76 and 98,563.92

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Solution

The fourth proportional to 192,117.84, 288,176.76 and 98,563.92 is: 147,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,117.84 : 288,176.76 = 98,563.92 : x
  2. Step 2: Convert to fraction form
    192,117.84/288,176.76 = 98,563.92/x
  3. Step 3: Cross multiply
    192,117.84x = 288,176.76 × 98,563.92
  4. Step 4: Simplify right side
    192,117.84x = 28,403,831,118.50
  5. Step 5: Solve for x
    x = 28,403,831,118.50/192,117.84
  6. Step 6: Final answer
    x = 147,845.88

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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.