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Finding the Fourth Proportional to 282,437.58, 423,659.80 and 82,762.02

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Solution

The fourth proportional to 282,437.58, 423,659.80 and 82,762.02 is: 124,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,437.58 : 423,659.80 = 82,762.02 : x
  2. Step 2: Convert to fraction form
    282,437.58/423,659.80 = 82,762.02/x
  3. Step 3: Cross multiply
    282,437.58x = 423,659.80 × 82,762.02
  4. Step 4: Simplify right side
    282,437.58x = 35,062,940,944.25
  5. Step 5: Solve for x
    x = 35,062,940,944.25/282,437.58
  6. Step 6: Final answer
    x = 124,144.03

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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.