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Finding the Fourth Proportional to 147,359.68, 221,070.24 and 48,856

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Solution

The fourth proportional to 147,359.68, 221,070.24 and 48,856 is: 73,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,359.68 : 221,070.24 = 48,856 : x
  2. Step 2: Convert to fraction form
    147,359.68/221,070.24 = 48,856/x
  3. Step 3: Cross multiply
    147,359.68x = 221,070.24 × 48,856
  4. Step 4: Simplify right side
    147,359.68x = 10,800,607,645.44
  5. Step 5: Solve for x
    x = 10,800,607,645.44/147,359.68
  6. Step 6: Final answer
    x = 73,294.18

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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.