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Finding the Fourth Proportional to 358,086.42, 537,164.70 and 130,443.90

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Solution

The fourth proportional to 358,086.42, 537,164.70 and 130,443.90 is: 195,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,086.42 : 537,164.70 = 130,443.90 : x
  2. Step 2: Convert to fraction form
    358,086.42/537,164.70 = 130,443.90/x
  3. Step 3: Cross multiply
    358,086.42x = 537,164.70 × 130,443.90
  4. Step 4: Simplify right side
    358,086.42x = 70,069,858,410.33
  5. Step 5: Solve for x
    x = 70,069,858,410.33/358,086.42
  6. Step 6: Final answer
    x = 195,678.63

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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.