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Finding the Fourth Proportional to 282,720.78, 424,133.72 and 93,194.42

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Solution

The fourth proportional to 282,720.78, 424,133.72 and 93,194.42 is: 139,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,720.78 : 424,133.72 = 93,194.42 : x
  2. Step 2: Convert to fraction form
    282,720.78/424,133.72 = 93,194.42/x
  3. Step 3: Cross multiply
    282,720.78x = 424,133.72 × 93,194.42
  4. Step 4: Simplify right side
    282,720.78x = 39,526,897,379.31
  5. Step 5: Solve for x
    x = 39,526,897,379.31/282,720.78
  6. Step 6: Final answer
    x = 139,808.96

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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.