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Finding the Fourth Proportional to 98,218.61, 147,338.78 and 35,053.46

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Solution

The fourth proportional to 98,218.61, 147,338.78 and 35,053.46 is: 52,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,218.61 : 147,338.78 = 35,053.46 : x
  2. Step 2: Convert to fraction form
    98,218.61/147,338.78 = 35,053.46/x
  3. Step 3: Cross multiply
    98,218.61x = 147,338.78 × 35,053.46
  4. Step 4: Simplify right side
    98,218.61x = 5,164,734,031.18
  5. Step 5: Solve for x
    x = 5,164,734,031.18/98,218.61
  6. Step 6: Final answer
    x = 52,584.07

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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.