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Finding the Fourth Proportional to 152,674.35, 210,691.87 and 84,695.78

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Solution

The fourth proportional to 152,674.35, 210,691.87 and 84,695.78 is: 116,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,674.35 : 210,691.87 = 84,695.78 : x
  2. Step 2: Convert to fraction form
    152,674.35/210,691.87 = 84,695.78/x
  3. Step 3: Cross multiply
    152,674.35x = 210,691.87 × 84,695.78
  4. Step 4: Simplify right side
    152,674.35x = 17,844,711,004.11
  5. Step 5: Solve for x
    x = 17,844,711,004.11/152,674.35
  6. Step 6: Final answer
    x = 116,880.87

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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.