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Finding the Fourth Proportional to 152,532.96, 228,692.70 and 109,865.94

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Solution

The fourth proportional to 152,532.96, 228,692.70 and 109,865.94 is: 164,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,532.96 : 228,692.70 = 109,865.94 : x
  2. Step 2: Convert to fraction form
    152,532.96/228,692.70 = 109,865.94/x
  3. Step 3: Cross multiply
    152,532.96x = 228,692.70 × 109,865.94
  4. Step 4: Simplify right side
    152,532.96x = 25,125,538,456.64
  5. Step 5: Solve for x
    x = 25,125,538,456.64/152,532.96
  6. Step 6: Final answer
    x = 164,722.03

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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.