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Finding the Fourth Proportional to 176,764, 243,934.36 and 97,276

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Solution

The fourth proportional to 176,764, 243,934.36 and 97,276 is: 134,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,764 : 243,934.36 = 97,276 : x
  2. Step 2: Convert to fraction form
    176,764/243,934.36 = 97,276/x
  3. Step 3: Cross multiply
    176,764x = 243,934.36 × 97,276
  4. Step 4: Simplify right side
    176,764x = 23,728,958,803.36
  5. Step 5: Solve for x
    x = 23,728,958,803.36/176,764
  6. Step 6: Final answer
    x = 134,240.90

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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.