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Finding the Fourth Proportional to 282,510.66, 423,769.48 and 82,835.00

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Solution

The fourth proportional to 282,510.66, 423,769.48 and 82,835.00 is: 124,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,510.66 : 423,769.48 = 82,835.00 : x
  2. Step 2: Convert to fraction form
    282,510.66/423,769.48 = 82,835.00/x
  3. Step 3: Cross multiply
    282,510.66x = 423,769.48 × 82,835.00
  4. Step 4: Simplify right side
    282,510.66x = 35,102,944,139.00
  5. Step 5: Solve for x
    x = 35,102,944,139.00/282,510.66
  6. Step 6: Final answer
    x = 124,253.52

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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.