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Finding the Fourth Proportional to 188,454.51, 282,712.55 and 55,339.11

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Solution

The fourth proportional to 188,454.51, 282,712.55 and 55,339.11 is: 83,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,454.51 : 282,712.55 = 55,339.11 : x
  2. Step 2: Convert to fraction form
    188,454.51/282,712.55 = 55,339.11/x
  3. Step 3: Cross multiply
    188,454.51x = 282,712.55 × 55,339.11
  4. Step 4: Simplify right side
    188,454.51x = 15,645,060,626.14
  5. Step 5: Solve for x
    x = 15,645,060,626.14/188,454.51
  6. Step 6: Final answer
    x = 83,017.70

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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.