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Finding the Fourth Proportional to 147,866.80, 204,055.96 and 84,204.62

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Solution

The fourth proportional to 147,866.80, 204,055.96 and 84,204.62 is: 116,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,866.80 : 204,055.96 = 84,204.62 : x
  2. Step 2: Convert to fraction form
    147,866.80/204,055.96 = 84,204.62/x
  3. Step 3: Cross multiply
    147,866.80x = 204,055.96 × 84,204.62
  4. Step 4: Simplify right side
    147,866.80x = 17,182,454,570.54
  5. Step 5: Solve for x
    x = 17,182,454,570.54/147,866.80
  6. Step 6: Final answer
    x = 116,202.25

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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.