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Finding the Fourth Proportional to 310,903.65, 466,355.48 and 111,230.55

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Solution

The fourth proportional to 310,903.65, 466,355.48 and 111,230.55 is: 166,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903.65 : 466,355.48 = 111,230.55 : x
  2. Step 2: Convert to fraction form
    310,903.65/466,355.48 = 111,230.55/x
  3. Step 3: Cross multiply
    310,903.65x = 466,355.48 × 111,230.55
  4. Step 4: Simplify right side
    310,903.65x = 51,872,975,979.76
  5. Step 5: Solve for x
    x = 51,872,975,979.76/310,903.65
  6. Step 6: Final answer
    x = 166,845.83

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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.