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Finding the Fourth Proportional to 131,594.22, 181,386.74 and 102,863.12

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Solution

The fourth proportional to 131,594.22, 181,386.74 and 102,863.12 is: 141,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,594.22 : 181,386.74 = 102,863.12 : x
  2. Step 2: Convert to fraction form
    131,594.22/181,386.74 = 102,863.12/x
  3. Step 3: Cross multiply
    131,594.22x = 181,386.74 × 102,863.12
  4. Step 4: Simplify right side
    131,594.22x = 18,658,005,353.25
  5. Step 5: Solve for x
    x = 18,658,005,353.25/131,594.22
  6. Step 6: Final answer
    x = 141,784.38

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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.