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Finding the Fourth Proportional to 176,828.16, 244,033.92 and 97,340.16

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Solution

The fourth proportional to 176,828.16, 244,033.92 and 97,340.16 is: 134,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,828.16 : 244,033.92 = 97,340.16 : x
  2. Step 2: Convert to fraction form
    176,828.16/244,033.92 = 97,340.16/x
  3. Step 3: Cross multiply
    176,828.16x = 244,033.92 × 97,340.16
  4. Step 4: Simplify right side
    176,828.16x = 23,754,300,818.23
  5. Step 5: Solve for x
    x = 23,754,300,818.23/176,828.16
  6. Step 6: Final answer
    x = 134,335.51

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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.