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Finding the Fourth Proportional to 98,148.52, 147,225.20 and 35,819

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Solution

The fourth proportional to 98,148.52, 147,225.20 and 35,819 is: 53,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,148.52 : 147,225.20 = 35,819 : x
  2. Step 2: Convert to fraction form
    98,148.52/147,225.20 = 35,819/x
  3. Step 3: Cross multiply
    98,148.52x = 147,225.20 × 35,819
  4. Step 4: Simplify right side
    98,148.52x = 5,273,459,438.80
  5. Step 5: Solve for x
    x = 5,273,459,438.80/98,148.52
  6. Step 6: Final answer
    x = 53,729.38

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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.