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Finding the Fourth Proportional to 188,272.23, 282,417.42 and 61,909.68

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Solution

The fourth proportional to 188,272.23, 282,417.42 and 61,909.68 is: 92,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,272.23 : 282,417.42 = 61,909.68 : x
  2. Step 2: Convert to fraction form
    188,272.23/282,417.42 = 61,909.68/x
  3. Step 3: Cross multiply
    188,272.23x = 282,417.42 × 61,909.68
  4. Step 4: Simplify right side
    188,272.23x = 17,484,373,041.61
  5. Step 5: Solve for x
    x = 17,484,373,041.61/188,272.23
  6. Step 6: Final answer
    x = 92,867.51

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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.