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Finding the Fourth Proportional to 176,020.84, 242,845.09 and 115,624

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Solution

The fourth proportional to 176,020.84, 242,845.09 and 115,624 is: 159,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,020.84 : 242,845.09 = 115,624 : x
  2. Step 2: Convert to fraction form
    176,020.84/242,845.09 = 115,624/x
  3. Step 3: Cross multiply
    176,020.84x = 242,845.09 × 115,624
  4. Step 4: Simplify right side
    176,020.84x = 28,078,720,686.16
  5. Step 5: Solve for x
    x = 28,078,720,686.16/176,020.84
  6. Step 6: Final answer
    x = 159,519.30

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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.