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Finding the Fourth Proportional to 152,859.76, 210,947.01 and 84,876.86

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Solution

The fourth proportional to 152,859.76, 210,947.01 and 84,876.86 is: 117,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,859.76 : 210,947.01 = 84,876.86 : x
  2. Step 2: Convert to fraction form
    152,859.76/210,947.01 = 84,876.86/x
  3. Step 3: Cross multiply
    152,859.76x = 210,947.01 × 84,876.86
  4. Step 4: Simplify right side
    152,859.76x = 17,904,520,282.98
  5. Step 5: Solve for x
    x = 17,904,520,282.98/152,859.76
  6. Step 6: Final answer
    x = 117,130.37

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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.