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Finding the Fourth Proportional to 161,021.31, 241,578.72 and 64,908.93

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Solution

The fourth proportional to 161,021.31, 241,578.72 and 64,908.93 is: 97,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,021.31 : 241,578.72 = 64,908.93 : x
  2. Step 2: Convert to fraction form
    161,021.31/241,578.72 = 64,908.93/x
  3. Step 3: Cross multiply
    161,021.31x = 241,578.72 × 64,908.93
  4. Step 4: Simplify right side
    161,021.31x = 15,680,615,258.06
  5. Step 5: Solve for x
    x = 15,680,615,258.06/161,021.31
  6. Step 6: Final answer
    x = 97,382.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.