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Finding the Fourth Proportional to 351,518.06, 527,301.70 and 141,156

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Solution

The fourth proportional to 351,518.06, 527,301.70 and 141,156 is: 211,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,518.06 : 527,301.70 = 141,156 : x
  2. Step 2: Convert to fraction form
    351,518.06/527,301.70 = 141,156/x
  3. Step 3: Cross multiply
    351,518.06x = 527,301.70 × 141,156
  4. Step 4: Simplify right side
    351,518.06x = 74,431,798,412.31
  5. Step 5: Solve for x
    x = 74,431,798,412.31/351,518.06
  6. Step 6: Final answer
    x = 211,743.88

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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.