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Finding the Fourth Proportional to 282,814.88, 424,132.16 and 93,239.92

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Solution

The fourth proportional to 282,814.88, 424,132.16 and 93,239.92 is: 139,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814.88 : 424,132.16 = 93,239.92 : x
  2. Step 2: Convert to fraction form
    282,814.88/424,132.16 = 93,239.92/x
  3. Step 3: Cross multiply
    282,814.88x = 424,132.16 × 93,239.92
  4. Step 4: Simplify right side
    282,814.88x = 39,546,048,667.83
  5. Step 5: Solve for x
    x = 39,546,048,667.83/282,814.88
  6. Step 6: Final answer
    x = 139,830.16

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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.