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Finding the Fourth Proportional to 223,957.84, 309,102.12 and 128,496.16

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Solution

The fourth proportional to 223,957.84, 309,102.12 and 128,496.16 is: 177,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,957.84 : 309,102.12 = 128,496.16 : x
  2. Step 2: Convert to fraction form
    223,957.84/309,102.12 = 128,496.16/x
  3. Step 3: Cross multiply
    223,957.84x = 309,102.12 × 128,496.16
  4. Step 4: Simplify right side
    223,957.84x = 39,718,435,467.86
  5. Step 5: Solve for x
    x = 39,718,435,467.86/223,957.84
  6. Step 6: Final answer
    x = 177,347.82

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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.