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Finding the Fourth Proportional to 314,143.88, 471,293.58 and 147,893

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Solution

The fourth proportional to 314,143.88, 471,293.58 and 147,893 is: 221,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,143.88 : 471,293.58 = 147,893 : x
  2. Step 2: Convert to fraction form
    314,143.88/471,293.58 = 147,893/x
  3. Step 3: Cross multiply
    314,143.88x = 471,293.58 × 147,893
  4. Step 4: Simplify right side
    314,143.88x = 69,701,021,426.94
  5. Step 5: Solve for x
    x = 69,701,021,426.94/314,143.88
  6. Step 6: Final answer
    x = 221,876.11

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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.