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Finding the Fourth Proportional to 176,461, 243,516.18 and 96,973

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Solution

The fourth proportional to 176,461, 243,516.18 and 96,973 is: 133,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,461 : 243,516.18 = 96,973 : x
  2. Step 2: Convert to fraction form
    176,461/243,516.18 = 96,973/x
  3. Step 3: Cross multiply
    176,461x = 243,516.18 × 96,973
  4. Step 4: Simplify right side
    176,461x = 23,614,494,523.14
  5. Step 5: Solve for x
    x = 23,614,494,523.14/176,461
  6. Step 6: Final answer
    x = 133,822.74

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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.