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Finding the Fourth Proportional to 224,265, 336,397.50 and 91,217.64

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Solution

The fourth proportional to 224,265, 336,397.50 and 91,217.64 is: 136,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,265 : 336,397.50 = 91,217.64 : x
  2. Step 2: Convert to fraction form
    224,265/336,397.50 = 91,217.64/x
  3. Step 3: Cross multiply
    224,265x = 336,397.50 × 91,217.64
  4. Step 4: Simplify right side
    224,265x = 30,685,386,051.90
  5. Step 5: Solve for x
    x = 30,685,386,051.90/224,265
  6. Step 6: Final answer
    x = 136,826.46

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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.