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Finding the Fourth Proportional to 119,506.32, 164,917.82 and 65,792.25

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Solution

The fourth proportional to 119,506.32, 164,917.82 and 65,792.25 is: 90,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,506.32 : 164,917.82 = 65,792.25 : x
  2. Step 2: Convert to fraction form
    119,506.32/164,917.82 = 65,792.25/x
  3. Step 3: Cross multiply
    119,506.32x = 164,917.82 × 65,792.25
  4. Step 4: Simplify right side
    119,506.32x = 10,850,314,607.38
  5. Step 5: Solve for x
    x = 10,850,314,607.38/119,506.32
  6. Step 6: Final answer
    x = 90,792.81

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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.