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Finding the Fourth Proportional to 182,509.12, 251,848.20 and 101,930.32

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Solution

The fourth proportional to 182,509.12, 251,848.20 and 101,930.32 is: 140,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,509.12 : 251,848.20 = 101,930.32 : x
  2. Step 2: Convert to fraction form
    182,509.12/251,848.20 = 101,930.32/x
  3. Step 3: Cross multiply
    182,509.12x = 251,848.20 × 101,930.32
  4. Step 4: Simplify right side
    182,509.12x = 25,670,967,617.42
  5. Step 5: Solve for x
    x = 25,670,967,617.42/182,509.12
  6. Step 6: Final answer
    x = 140,655.81

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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.