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Finding the Fourth Proportional to 151,866.74, 209,575.26 and 83,888.39

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Solution

The fourth proportional to 151,866.74, 209,575.26 and 83,888.39 is: 115,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,866.74 : 209,575.26 = 83,888.39 : x
  2. Step 2: Convert to fraction form
    151,866.74/209,575.26 = 83,888.39/x
  3. Step 3: Cross multiply
    151,866.74x = 209,575.26 × 83,888.39
  4. Step 4: Simplify right side
    151,866.74x = 17,580,930,097.36
  5. Step 5: Solve for x
    x = 17,580,930,097.36/151,866.74
  6. Step 6: Final answer
    x = 115,765.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.