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Finding the Fourth Proportional to 176,758.25, 243,926.43 and 97,270.25

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Solution

The fourth proportional to 176,758.25, 243,926.43 and 97,270.25 is: 134,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758.25 : 243,926.43 = 97,270.25 : x
  2. Step 2: Convert to fraction form
    176,758.25/243,926.43 = 97,270.25/x
  3. Step 3: Cross multiply
    176,758.25x = 243,926.43 × 97,270.25
  4. Step 4: Simplify right side
    176,758.25x = 23,726,784,341.36
  5. Step 5: Solve for x
    x = 23,726,784,341.36/176,758.25
  6. Step 6: Final answer
    x = 134,232.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.