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Finding the Fourth Proportional to 282,442.99, 423,664.12 and 72,080.93

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Solution

The fourth proportional to 282,442.99, 423,664.12 and 72,080.93 is: 108,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,442.99 : 423,664.12 = 72,080.93 : x
  2. Step 2: Convert to fraction form
    282,442.99/423,664.12 = 72,080.93/x
  3. Step 3: Cross multiply
    282,442.99x = 423,664.12 × 72,080.93
  4. Step 4: Simplify right side
    282,442.99x = 30,538,103,777.23
  5. Step 5: Solve for x
    x = 30,538,103,777.23/282,442.99
  6. Step 6: Final answer
    x = 108,121.30

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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.