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Finding the Fourth Proportional to 284,567.58, 427,071.69 and 107,235.90

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Solution

The fourth proportional to 284,567.58, 427,071.69 and 107,235.90 is: 160,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,567.58 : 427,071.69 = 107,235.90 : x
  2. Step 2: Convert to fraction form
    284,567.58/427,071.69 = 107,235.90/x
  3. Step 3: Cross multiply
    284,567.58x = 427,071.69 × 107,235.90
  4. Step 4: Simplify right side
    284,567.58x = 45,797,417,041.67
  5. Step 5: Solve for x
    x = 45,797,417,041.67/284,567.58
  6. Step 6: Final answer
    x = 160,936.87

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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.