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Finding the Fourth Proportional to 193,254.40, 289,737.60 and 99,827.20

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Solution

The fourth proportional to 193,254.40, 289,737.60 and 99,827.20 is: 149,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,254.40 : 289,737.60 = 99,827.20 : x
  2. Step 2: Convert to fraction form
    193,254.40/289,737.60 = 99,827.20/x
  3. Step 3: Cross multiply
    193,254.40x = 289,737.60 × 99,827.20
  4. Step 4: Simplify right side
    193,254.40x = 28,923,693,342.72
  5. Step 5: Solve for x
    x = 28,923,693,342.72/193,254.40
  6. Step 6: Final answer
    x = 149,666.42

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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.