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Finding the Fourth Proportional to 469,083.51, 703,625.26 and 114,097.77

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Solution

The fourth proportional to 469,083.51, 703,625.26 and 114,097.77 is: 171,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,083.51 : 703,625.26 = 114,097.77 : x
  2. Step 2: Convert to fraction form
    469,083.51/703,625.26 = 114,097.77/x
  3. Step 3: Cross multiply
    469,083.51x = 703,625.26 × 114,097.77
  4. Step 4: Simplify right side
    469,083.51x = 80,282,073,081.67
  5. Step 5: Solve for x
    x = 80,282,073,081.67/469,083.51
  6. Step 6: Final answer
    x = 171,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.