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Finding the Fourth Proportional to 230,226.84, 317,708.19 and 128,252.16

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Solution

The fourth proportional to 230,226.84, 317,708.19 and 128,252.16 is: 176,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,226.84 : 317,708.19 = 128,252.16 : x
  2. Step 2: Convert to fraction form
    230,226.84/317,708.19 = 128,252.16/x
  3. Step 3: Cross multiply
    230,226.84x = 317,708.19 × 128,252.16
  4. Step 4: Simplify right side
    230,226.84x = 40,746,761,617.19
  5. Step 5: Solve for x
    x = 40,746,761,617.19/230,226.84
  6. Step 6: Final answer
    x = 176,985.28

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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.