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Finding the Fourth Proportional to 177,348.64, 244,733.52 and 96,774.16

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Solution

The fourth proportional to 177,348.64, 244,733.52 and 96,774.16 is: 133,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,348.64 : 244,733.52 = 96,774.16 : x
  2. Step 2: Convert to fraction form
    177,348.64/244,733.52 = 96,774.16/x
  3. Step 3: Cross multiply
    177,348.64x = 244,733.52 × 96,774.16
  4. Step 4: Simplify right side
    177,348.64x = 23,683,880,821.84
  5. Step 5: Solve for x
    x = 23,683,880,821.84/177,348.64
  6. Step 6: Final answer
    x = 133,544.19

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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.