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Finding the Fourth Proportional to 159,047.78, 238,571.74 and 74,746.08

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Solution

The fourth proportional to 159,047.78, 238,571.74 and 74,746.08 is: 112,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,047.78 : 238,571.74 = 74,746.08 : x
  2. Step 2: Convert to fraction form
    159,047.78/238,571.74 = 74,746.08/x
  3. Step 3: Cross multiply
    159,047.78x = 238,571.74 × 74,746.08
  4. Step 4: Simplify right side
    159,047.78x = 17,832,302,363.78
  5. Step 5: Solve for x
    x = 17,832,302,363.78/159,047.78
  6. Step 6: Final answer
    x = 112,119.15

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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.