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Finding the Fourth Proportional to 176,758, 243,926.08 and 97,270

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Solution

The fourth proportional to 176,758, 243,926.08 and 97,270 is: 134,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758 : 243,926.08 = 97,270 : x
  2. Step 2: Convert to fraction form
    176,758/243,926.08 = 97,270/x
  3. Step 3: Cross multiply
    176,758x = 243,926.08 × 97,270
  4. Step 4: Simplify right side
    176,758x = 23,726,689,801.60
  5. Step 5: Solve for x
    x = 23,726,689,801.60/176,758
  6. Step 6: Final answer
    x = 134,232.62

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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.