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Finding the Fourth Proportional to 152,882.08, 210,967.86 and 84,894.91

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Solution

The fourth proportional to 152,882.08, 210,967.86 and 84,894.91 is: 117,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882.08 : 210,967.86 = 84,894.91 : x
  2. Step 2: Convert to fraction form
    152,882.08/210,967.86 = 84,894.91/x
  3. Step 3: Cross multiply
    152,882.08x = 210,967.86 × 84,894.91
  4. Step 4: Simplify right side
    152,882.08x = 17,910,097,487.59
  5. Step 5: Solve for x
    x = 17,910,097,487.59/152,882.08
  6. Step 6: Final answer
    x = 117,149.75

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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.