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Finding the Fourth Proportional to 153,828.30, 230,742.45 and 83,844.30

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Solution

The fourth proportional to 153,828.30, 230,742.45 and 83,844.30 is: 125,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,828.30 : 230,742.45 = 83,844.30 : x
  2. Step 2: Convert to fraction form
    153,828.30/230,742.45 = 83,844.30/x
  3. Step 3: Cross multiply
    153,828.30x = 230,742.45 × 83,844.30
  4. Step 4: Simplify right side
    153,828.30x = 19,346,439,200.54
  5. Step 5: Solve for x
    x = 19,346,439,200.54/153,828.30
  6. Step 6: Final answer
    x = 125,766.45

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1.5x scale

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.