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Finding the Fourth Proportional to 159,144.51, 238,719.70 and 127,407.19

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Solution

The fourth proportional to 159,144.51, 238,719.70 and 127,407.19 is: 191,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144.51 : 238,719.70 = 127,407.19 : x
  2. Step 2: Convert to fraction form
    159,144.51/238,719.70 = 127,407.19/x
  3. Step 3: Cross multiply
    159,144.51x = 238,719.70 × 127,407.19
  4. Step 4: Simplify right side
    159,144.51x = 30,414,606,174.64
  5. Step 5: Solve for x
    x = 30,414,606,174.64/159,144.51
  6. Step 6: Final answer
    x = 191,113.13

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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.