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Finding the Fourth Proportional to 228,472.82, 342,762.70 and 70,692.92

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Solution

The fourth proportional to 228,472.82, 342,762.70 and 70,692.92 is: 106,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,472.82 : 342,762.70 = 70,692.92 : x
  2. Step 2: Convert to fraction form
    228,472.82/342,762.70 = 70,692.92/x
  3. Step 3: Cross multiply
    228,472.82x = 342,762.70 × 70,692.92
  4. Step 4: Simplify right side
    228,472.82x = 24,230,896,130.08
  5. Step 5: Solve for x
    x = 24,230,896,130.08/228,472.82
  6. Step 6: Final answer
    x = 106,055.92

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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.