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Finding the Fourth Proportional to 282,916.89, 424,111.68 and 194,212.17

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Solution

The fourth proportional to 282,916.89, 424,111.68 and 194,212.17 is: 291,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,916.89 : 424,111.68 = 194,212.17 : x
  2. Step 2: Convert to fraction form
    282,916.89/424,111.68 = 194,212.17/x
  3. Step 3: Cross multiply
    282,916.89x = 424,111.68 × 194,212.17
  4. Step 4: Simplify right side
    282,916.89x = 82,367,649,695.15
  5. Step 5: Solve for x
    x = 82,367,649,695.15/282,916.89
  6. Step 6: Final answer
    x = 291,137.27

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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.