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Finding the Fourth Proportional to 219,121.72, 328,616.70 and 113,883.16

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Solution

The fourth proportional to 219,121.72, 328,616.70 and 113,883.16 is: 170,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,121.72 : 328,616.70 = 113,883.16 : x
  2. Step 2: Convert to fraction form
    219,121.72/328,616.70 = 113,883.16/x
  3. Step 3: Cross multiply
    219,121.72x = 328,616.70 × 113,883.16
  4. Step 4: Simplify right side
    219,121.72x = 37,423,908,224.77
  5. Step 5: Solve for x
    x = 37,423,908,224.77/219,121.72
  6. Step 6: Final answer
    x = 170,790.50

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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.