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Finding the Fourth Proportional to 193,239.40, 289,715.10 and 99,812.20

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Solution

The fourth proportional to 193,239.40, 289,715.10 and 99,812.20 is: 149,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,239.40 : 289,715.10 = 99,812.20 : x
  2. Step 2: Convert to fraction form
    193,239.40/289,715.10 = 99,812.20/x
  3. Step 3: Cross multiply
    193,239.40x = 289,715.10 × 99,812.20
  4. Step 4: Simplify right side
    193,239.40x = 28,917,101,504.22
  5. Step 5: Solve for x
    x = 28,917,101,504.22/193,239.40
  6. Step 6: Final answer
    x = 149,643.92

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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.