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Finding the Fourth Proportional to 153,840.30, 230,760.45 and 83,856.30

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Solution

The fourth proportional to 153,840.30, 230,760.45 and 83,856.30 is: 125,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,840.30 : 230,760.45 = 83,856.30 : x
  2. Step 2: Convert to fraction form
    153,840.30/230,760.45 = 83,856.30/x
  3. Step 3: Cross multiply
    153,840.30x = 230,760.45 × 83,856.30
  4. Step 4: Simplify right side
    153,840.30x = 19,350,717,523.34
  5. Step 5: Solve for x
    x = 19,350,717,523.34/153,840.30
  6. Step 6: Final answer
    x = 125,784.45

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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.