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Finding the Fourth Proportional to 176,077, 264,154.38 and 65,269

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Solution

The fourth proportional to 176,077, 264,154.38 and 65,269 is: 97,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,077 : 264,154.38 = 65,269 : x
  2. Step 2: Convert to fraction form
    176,077/264,154.38 = 65,269/x
  3. Step 3: Cross multiply
    176,077x = 264,154.38 × 65,269
  4. Step 4: Simplify right side
    176,077x = 17,241,092,228.22
  5. Step 5: Solve for x
    x = 17,241,092,228.22/176,077
  6. Step 6: Final answer
    x = 97,917.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.