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Finding the Fourth Proportional to 176,766, 243,937.12 and 97,278

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Solution

The fourth proportional to 176,766, 243,937.12 and 97,278 is: 134,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,766 : 243,937.12 = 97,278 : x
  2. Step 2: Convert to fraction form
    176,766/243,937.12 = 97,278/x
  3. Step 3: Cross multiply
    176,766x = 243,937.12 × 97,278
  4. Step 4: Simplify right side
    176,766x = 23,729,715,159.36
  5. Step 5: Solve for x
    x = 23,729,715,159.36/176,766
  6. Step 6: Final answer
    x = 134,243.66

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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.