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Finding the Fourth Proportional to 282,870.61, 424,305.91 and 83,191.00

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Solution

The fourth proportional to 282,870.61, 424,305.91 and 83,191.00 is: 124,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,870.61 : 424,305.91 = 83,191.00 : x
  2. Step 2: Convert to fraction form
    282,870.61/424,305.91 = 83,191.00/x
  3. Step 3: Cross multiply
    282,870.61x = 424,305.91 × 83,191.00
  4. Step 4: Simplify right side
    282,870.61x = 35,298,432,797.61
  5. Step 5: Solve for x
    x = 35,298,432,797.61/282,870.61
  6. Step 6: Final answer
    x = 124,786.50

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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.