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Finding the Fourth Proportional to 176,460, 243,514.80 and 96,972

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Solution

The fourth proportional to 176,460, 243,514.80 and 96,972 is: 133,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,460 : 243,514.80 = 96,972 : x
  2. Step 2: Convert to fraction form
    176,460/243,514.80 = 96,972/x
  3. Step 3: Cross multiply
    176,460x = 243,514.80 × 96,972
  4. Step 4: Simplify right side
    176,460x = 23,614,117,185.60
  5. Step 5: Solve for x
    x = 23,614,117,185.60/176,460
  6. Step 6: Final answer
    x = 133,821.36

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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.