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Finding the Fourth Proportional to 199,387.84, 299,031 and 59,113.84

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Solution

The fourth proportional to 199,387.84, 299,031 and 59,113.84 is: 88,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,387.84 : 299,031 = 59,113.84 : x
  2. Step 2: Convert to fraction form
    199,387.84/299,031 = 59,113.84/x
  3. Step 3: Cross multiply
    199,387.84x = 299,031 × 59,113.84
  4. Step 4: Simplify right side
    199,387.84x = 17,676,870,689.04
  5. Step 5: Solve for x
    x = 17,676,870,689.04/199,387.84
  6. Step 6: Final answer
    x = 88,655.71

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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.