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Finding the Fourth Proportional to 105,854.45, 158,497.36 and 55,830.47

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Solution

The fourth proportional to 105,854.45, 158,497.36 and 55,830.47 is: 83,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854.45 : 158,497.36 = 55,830.47 : x
  2. Step 2: Convert to fraction form
    105,854.45/158,497.36 = 55,830.47/x
  3. Step 3: Cross multiply
    105,854.45x = 158,497.36 × 55,830.47
  4. Step 4: Simplify right side
    105,854.45x = 8,848,981,170.50
  5. Step 5: Solve for x
    x = 8,848,981,170.50/105,854.45
  6. Step 6: Final answer
    x = 83,595.74

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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.