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Finding the Fourth Proportional to 147,476, 221,214.86 and 36,668

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Solution

The fourth proportional to 147,476, 221,214.86 and 36,668 is: 55,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,476 : 221,214.86 = 36,668 : x
  2. Step 2: Convert to fraction form
    147,476/221,214.86 = 36,668/x
  3. Step 3: Cross multiply
    147,476x = 221,214.86 × 36,668
  4. Step 4: Simplify right side
    147,476x = 8,111,506,486.48
  5. Step 5: Solve for x
    x = 8,111,506,486.48/147,476
  6. Step 6: Final answer
    x = 55,002.21

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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.