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Finding the Fourth Proportional to 152,656.12, 210,690.67 and 84,694.98

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Solution

The fourth proportional to 152,656.12, 210,690.67 and 84,694.98 is: 116,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,656.12 : 210,690.67 = 84,694.98 : x
  2. Step 2: Convert to fraction form
    152,656.12/210,690.67 = 84,694.98/x
  3. Step 3: Cross multiply
    152,656.12x = 210,690.67 × 84,694.98
  4. Step 4: Simplify right side
    152,656.12x = 17,844,441,041.29
  5. Step 5: Solve for x
    x = 17,844,441,041.29/152,656.12
  6. Step 6: Final answer
    x = 116,893.06

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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.