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Finding the Fourth Proportional to 157,871.28, 217,825.54 and 97,444.46

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Solution

The fourth proportional to 157,871.28, 217,825.54 and 97,444.46 is: 134,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,871.28 : 217,825.54 = 97,444.46 : x
  2. Step 2: Convert to fraction form
    157,871.28/217,825.54 = 97,444.46/x
  3. Step 3: Cross multiply
    157,871.28x = 217,825.54 × 97,444.46
  4. Step 4: Simplify right side
    157,871.28x = 21,225,892,119.51
  5. Step 5: Solve for x
    x = 21,225,892,119.51/157,871.28
  6. Step 6: Final answer
    x = 134,450.62

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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.