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Finding the Fourth Proportional to 219,218.10, 302,524.98 and 123,706.32

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Solution

The fourth proportional to 219,218.10, 302,524.98 and 123,706.32 is: 170,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,218.10 : 302,524.98 = 123,706.32 : x
  2. Step 2: Convert to fraction form
    219,218.10/302,524.98 = 123,706.32/x
  3. Step 3: Cross multiply
    219,218.10x = 302,524.98 × 123,706.32
  4. Step 4: Simplify right side
    219,218.10x = 37,424,251,983.87
  5. Step 5: Solve for x
    x = 37,424,251,983.87/219,218.10
  6. Step 6: Final answer
    x = 170,716.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.