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Finding the Fourth Proportional to 199,795.76, 299,397 and 81,322.16

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Solution

The fourth proportional to 199,795.76, 299,397 and 81,322.16 is: 121,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,795.76 : 299,397 = 81,322.16 : x
  2. Step 2: Convert to fraction form
    199,795.76/299,397 = 81,322.16/x
  3. Step 3: Cross multiply
    199,795.76x = 299,397 × 81,322.16
  4. Step 4: Simplify right side
    199,795.76x = 24,347,610,737.52
  5. Step 5: Solve for x
    x = 24,347,610,737.52/199,795.76
  6. Step 6: Final answer
    x = 121,862.50

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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.