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Finding the Fourth Proportional to 130,958, 196,441.86 and 42,212.78

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Solution

The fourth proportional to 130,958, 196,441.86 and 42,212.78 is: 63,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,958 : 196,441.86 = 42,212.78 : x
  2. Step 2: Convert to fraction form
    130,958/196,441.86 = 42,212.78/x
  3. Step 3: Cross multiply
    130,958x = 196,441.86 × 42,212.78
  4. Step 4: Simplify right side
    130,958x = 8,292,357,018.97
  5. Step 5: Solve for x
    x = 8,292,357,018.97/130,958
  6. Step 6: Final answer
    x = 63,320.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.