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Finding the Fourth Proportional to 282,804.74, 424,207.20 and 83,125.16

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Solution

The fourth proportional to 282,804.74, 424,207.20 and 83,125.16 is: 124,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,804.74 : 424,207.20 = 83,125.16 : x
  2. Step 2: Convert to fraction form
    282,804.74/424,207.20 = 83,125.16/x
  3. Step 3: Cross multiply
    282,804.74x = 424,207.20 × 83,125.16
  4. Step 4: Simplify right side
    282,804.74x = 35,262,289,252.12
  5. Step 5: Solve for x
    x = 35,262,289,252.12/282,804.74
  6. Step 6: Final answer
    x = 124,687.76

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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.