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Finding the Fourth Proportional to 174,145.92, 261,266.40 and 49,488

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Solution

The fourth proportional to 174,145.92, 261,266.40 and 49,488 is: 74,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,145.92 : 261,266.40 = 49,488 : x
  2. Step 2: Convert to fraction form
    174,145.92/261,266.40 = 49,488/x
  3. Step 3: Cross multiply
    174,145.92x = 261,266.40 × 49,488
  4. Step 4: Simplify right side
    174,145.92x = 12,929,551,603.20
  5. Step 5: Solve for x
    x = 12,929,551,603.20/174,145.92
  6. Step 6: Final answer
    x = 74,245.50

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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.