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Finding the Fourth Proportional to 188,009.55, 282,041.13 and 61,659.68

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Solution

The fourth proportional to 188,009.55, 282,041.13 and 61,659.68 is: 92,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,009.55 : 282,041.13 = 61,659.68 : x
  2. Step 2: Convert to fraction form
    188,009.55/282,041.13 = 61,659.68/x
  3. Step 3: Cross multiply
    188,009.55x = 282,041.13 × 61,659.68
  4. Step 4: Simplify right side
    188,009.55x = 17,390,565,514.34
  5. Step 5: Solve for x
    x = 17,390,565,514.34/188,009.55
  6. Step 6: Final answer
    x = 92,498.31

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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.