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Finding the Fourth Proportional to 218,050.40, 327,032.40 and 105,730.40

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Solution

The fourth proportional to 218,050.40, 327,032.40 and 105,730.40 is: 158,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050.40 : 327,032.40 = 105,730.40 : x
  2. Step 2: Convert to fraction form
    218,050.40/327,032.40 = 105,730.40/x
  3. Step 3: Cross multiply
    218,050.40x = 327,032.40 × 105,730.40
  4. Step 4: Simplify right side
    218,050.40x = 34,577,266,464.96
  5. Step 5: Solve for x
    x = 34,577,266,464.96/218,050.40
  6. Step 6: Final answer
    x = 158,574.65

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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.