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Finding the Fourth Proportional to 169,400.73, 233,746.44 and 97,767.36

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Solution

The fourth proportional to 169,400.73, 233,746.44 and 97,767.36 is: 134,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,400.73 : 233,746.44 = 97,767.36 : x
  2. Step 2: Convert to fraction form
    169,400.73/233,746.44 = 97,767.36/x
  3. Step 3: Cross multiply
    169,400.73x = 233,746.44 × 97,767.36
  4. Step 4: Simplify right side
    169,400.73x = 22,852,772,348.20
  5. Step 5: Solve for x
    x = 22,852,772,348.20/169,400.73
  6. Step 6: Final answer
    x = 134,903.62

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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.