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Finding the Fourth Proportional to 318,160, 477,242.88 and 96,544

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Solution

The fourth proportional to 318,160, 477,242.88 and 96,544 is: 144,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,160 : 477,242.88 = 96,544 : x
  2. Step 2: Convert to fraction form
    318,160/477,242.88 = 96,544/x
  3. Step 3: Cross multiply
    318,160x = 477,242.88 × 96,544
  4. Step 4: Simplify right side
    318,160x = 46,074,936,606.72
  5. Step 5: Solve for x
    x = 46,074,936,606.72/318,160
  6. Step 6: Final answer
    x = 144,816.87

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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.