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Finding the Fourth Proportional to 121,267.28, 181,866.36 and 47,378

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Solution

The fourth proportional to 121,267.28, 181,866.36 and 47,378 is: 71,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,267.28 : 181,866.36 = 47,378 : x
  2. Step 2: Convert to fraction form
    121,267.28/181,866.36 = 47,378/x
  3. Step 3: Cross multiply
    121,267.28x = 181,866.36 × 47,378
  4. Step 4: Simplify right side
    121,267.28x = 8,616,464,404.08
  5. Step 5: Solve for x
    x = 8,616,464,404.08/121,267.28
  6. Step 6: Final answer
    x = 71,053.50

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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.