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Finding the Fourth Proportional to 176,588, 243,691.44 and 97,100

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Solution

The fourth proportional to 176,588, 243,691.44 and 97,100 is: 133,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,588 : 243,691.44 = 97,100 : x
  2. Step 2: Convert to fraction form
    176,588/243,691.44 = 97,100/x
  3. Step 3: Cross multiply
    176,588x = 243,691.44 × 97,100
  4. Step 4: Simplify right side
    176,588x = 23,662,438,824
  5. Step 5: Solve for x
    x = 23,662,438,824/176,588
  6. Step 6: Final answer
    x = 133,998

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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.