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Finding the Fourth Proportional to 282,459.56, 423,689.33 and 82,779.98

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Solution

The fourth proportional to 282,459.56, 423,689.33 and 82,779.98 is: 124,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,459.56 : 423,689.33 = 82,779.98 : x
  2. Step 2: Convert to fraction form
    282,459.56/423,689.33 = 82,779.98/x
  3. Step 3: Cross multiply
    282,459.56x = 423,689.33 × 82,779.98
  4. Step 4: Simplify right side
    282,459.56x = 35,072,992,352.12
  5. Step 5: Solve for x
    x = 35,072,992,352.12/282,459.56
  6. Step 6: Final answer
    x = 124,169.96

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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.