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Finding the Fourth Proportional to 176,019.84, 242,843.72 and 115,623

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Solution

The fourth proportional to 176,019.84, 242,843.72 and 115,623 is: 159,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,019.84 : 242,843.72 = 115,623 : x
  2. Step 2: Convert to fraction form
    176,019.84/242,843.72 = 115,623/x
  3. Step 3: Cross multiply
    176,019.84x = 242,843.72 × 115,623
  4. Step 4: Simplify right side
    176,019.84x = 28,078,318,859.45
  5. Step 5: Solve for x
    x = 28,078,318,859.45/176,019.84
  6. Step 6: Final answer
    x = 159,517.92

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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.