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Finding the Fourth Proportional to 282,820.88, 423,658.44 and 130,802

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Solution

The fourth proportional to 282,820.88, 423,658.44 and 130,802 is: 195,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,820.88 : 423,658.44 = 130,802 : x
  2. Step 2: Convert to fraction form
    282,820.88/423,658.44 = 130,802/x
  3. Step 3: Cross multiply
    282,820.88x = 423,658.44 × 130,802
  4. Step 4: Simplify right side
    282,820.88x = 55,415,371,268.88
  5. Step 5: Solve for x
    x = 55,415,371,268.88/282,820.88
  6. Step 6: Final answer
    x = 195,938.05

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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.