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Finding the Fourth Proportional to 310,916.18, 429,026.18 and 196,151.54

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Solution

The fourth proportional to 310,916.18, 429,026.18 and 196,151.54 is: 270,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,916.18 : 429,026.18 = 196,151.54 : x
  2. Step 2: Convert to fraction form
    310,916.18/429,026.18 = 196,151.54/x
  3. Step 3: Cross multiply
    310,916.18x = 429,026.18 × 196,151.54
  4. Step 4: Simplify right side
    310,916.18x = 84,154,145,907.32
  5. Step 5: Solve for x
    x = 84,154,145,907.32/310,916.18
  6. Step 6: Final answer
    x = 270,665.06

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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.