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Finding the Fourth Proportional to 238,297.74, 328,853.15 and 130,870

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Solution

The fourth proportional to 238,297.74, 328,853.15 and 130,870 is: 180,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,297.74 : 328,853.15 = 130,870 : x
  2. Step 2: Convert to fraction form
    238,297.74/328,853.15 = 130,870/x
  3. Step 3: Cross multiply
    238,297.74x = 328,853.15 × 130,870
  4. Step 4: Simplify right side
    238,297.74x = 43,037,011,740.50
  5. Step 5: Solve for x
    x = 43,037,011,740.50/238,297.74
  6. Step 6: Final answer
    x = 180,601.85

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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.