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Finding the Fourth Proportional to 228,315.12, 342,468.90 and 70,524.96

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Solution

The fourth proportional to 228,315.12, 342,468.90 and 70,524.96 is: 105,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,315.12 : 342,468.90 = 70,524.96 : x
  2. Step 2: Convert to fraction form
    228,315.12/342,468.90 = 70,524.96/x
  3. Step 3: Cross multiply
    228,315.12x = 342,468.90 × 70,524.96
  4. Step 4: Simplify right side
    228,315.12x = 24,152,605,473.74
  5. Step 5: Solve for x
    x = 24,152,605,473.74/228,315.12
  6. Step 6: Final answer
    x = 105,786.27

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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.