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Finding the Fourth Proportional to 224,408.17, 309,710.50 and 163,948.55

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Solution

The fourth proportional to 224,408.17, 309,710.50 and 163,948.55 is: 226,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,408.17 : 309,710.50 = 163,948.55 : x
  2. Step 2: Convert to fraction form
    224,408.17/309,710.50 = 163,948.55/x
  3. Step 3: Cross multiply
    224,408.17x = 309,710.50 × 163,948.55
  4. Step 4: Simplify right side
    224,408.17x = 50,776,587,394.78
  5. Step 5: Solve for x
    x = 50,776,587,394.78/224,408.17
  6. Step 6: Final answer
    x = 226,268.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.