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Finding the Fourth Proportional to 176,077.50, 264,155.13 and 65,269.50

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Solution

The fourth proportional to 176,077.50, 264,155.13 and 65,269.50 is: 97,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,077.50 : 264,155.13 = 65,269.50 : x
  2. Step 2: Convert to fraction form
    176,077.50/264,155.13 = 65,269.50/x
  3. Step 3: Cross multiply
    176,077.50x = 264,155.13 × 65,269.50
  4. Step 4: Simplify right side
    176,077.50x = 17,241,273,257.54
  5. Step 5: Solve for x
    x = 17,241,273,257.54/176,077.50
  6. Step 6: Final answer
    x = 97,918.66

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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.