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Finding the Fourth Proportional to 153,827.80, 230,741.70 and 83,843.80

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Solution

The fourth proportional to 153,827.80, 230,741.70 and 83,843.80 is: 125,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,827.80 : 230,741.70 = 83,843.80 : x
  2. Step 2: Convert to fraction form
    153,827.80/230,741.70 = 83,843.80/x
  3. Step 3: Cross multiply
    153,827.80x = 230,741.70 × 83,843.80
  4. Step 4: Simplify right side
    153,827.80x = 19,346,260,946.46
  5. Step 5: Solve for x
    x = 19,346,260,946.46/153,827.80
  6. Step 6: Final answer
    x = 125,765.70

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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.