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Finding the Fourth Proportional to 282,459.72, 423,704.16 and 72,099.48

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Solution

The fourth proportional to 282,459.72, 423,704.16 and 72,099.48 is: 108,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,459.72 : 423,704.16 = 72,099.48 : x
  2. Step 2: Convert to fraction form
    282,459.72/423,704.16 = 72,099.48/x
  3. Step 3: Cross multiply
    282,459.72x = 423,704.16 × 72,099.48
  4. Step 4: Simplify right side
    282,459.72x = 30,548,849,609.84
  5. Step 5: Solve for x
    x = 30,548,849,609.84/282,459.72
  6. Step 6: Final answer
    x = 108,152.94

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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.