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Finding the Fourth Proportional to 375,826.76, 563,680.12 and 109,524.98

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Solution

The fourth proportional to 375,826.76, 563,680.12 and 109,524.98 is: 164,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,826.76 : 563,680.12 = 109,524.98 : x
  2. Step 2: Convert to fraction form
    375,826.76/563,680.12 = 109,524.98/x
  3. Step 3: Cross multiply
    375,826.76x = 563,680.12 × 109,524.98
  4. Step 4: Simplify right side
    375,826.76x = 61,737,053,869.40
  5. Step 5: Solve for x
    x = 61,737,053,869.40/375,826.76
  6. Step 6: Final answer
    x = 164,269.98

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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.