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Finding the Fourth Proportional to 193,199.60, 289,943.40 and 99,657.20

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Solution

The fourth proportional to 193,199.60, 289,943.40 and 99,657.20 is: 149,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,199.60 : 289,943.40 = 99,657.20 : x
  2. Step 2: Convert to fraction form
    193,199.60/289,943.40 = 99,657.20/x
  3. Step 3: Cross multiply
    193,199.60x = 289,943.40 × 99,657.20
  4. Step 4: Simplify right side
    193,199.60x = 28,894,947,402.48
  5. Step 5: Solve for x
    x = 28,894,947,402.48/193,199.60
  6. Step 6: Final answer
    x = 149,560.08

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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.