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Finding the Fourth Proportional to 315,987.38, 473,884.68 and 166,146.38

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Solution

The fourth proportional to 315,987.38, 473,884.68 and 166,146.38 is: 249,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,987.38 : 473,884.68 = 166,146.38 : x
  2. Step 2: Convert to fraction form
    315,987.38/473,884.68 = 166,146.38/x
  3. Step 3: Cross multiply
    315,987.38x = 473,884.68 × 166,146.38
  4. Step 4: Simplify right side
    315,987.38x = 78,734,224,119.46
  5. Step 5: Solve for x
    x = 78,734,224,119.46/315,987.38
  6. Step 6: Final answer
    x = 249,168.89

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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.