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Finding the Fourth Proportional to 152,251.34, 210,107.27 and 84,273

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Solution

The fourth proportional to 152,251.34, 210,107.27 and 84,273 is: 116,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,251.34 : 210,107.27 = 84,273 : x
  2. Step 2: Convert to fraction form
    152,251.34/210,107.27 = 84,273/x
  3. Step 3: Cross multiply
    152,251.34x = 210,107.27 × 84,273
  4. Step 4: Simplify right side
    152,251.34x = 17,706,369,543.35
  5. Step 5: Solve for x
    x = 17,706,369,543.35/152,251.34
  6. Step 6: Final answer
    x = 116,296.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.