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Finding the Fourth Proportional to 164,969.94, 227,663.57 and 96,974.44

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Solution

The fourth proportional to 164,969.94, 227,663.57 and 96,974.44 is: 133,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,969.94 : 227,663.57 = 96,974.44 : x
  2. Step 2: Convert to fraction form
    164,969.94/227,663.57 = 96,974.44/x
  3. Step 3: Cross multiply
    164,969.94x = 227,663.57 × 96,974.44
  4. Step 4: Simplify right side
    164,969.94x = 22,077,547,209.15
  5. Step 5: Solve for x
    x = 22,077,547,209.15/164,969.94
  6. Step 6: Final answer
    x = 133,827.70

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1.5x scale

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.