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Finding the Fourth Proportional to 214,886.86, 322,478.36 and 74,645.48

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Solution

The fourth proportional to 214,886.86, 322,478.36 and 74,645.48 is: 112,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,886.86 : 322,478.36 = 74,645.48 : x
  2. Step 2: Convert to fraction form
    214,886.86/322,478.36 = 74,645.48/x
  3. Step 3: Cross multiply
    214,886.86x = 322,478.36 × 74,645.48
  4. Step 4: Simplify right side
    214,886.86x = 24,071,551,971.81
  5. Step 5: Solve for x
    x = 24,071,551,971.81/214,886.86
  6. Step 6: Final answer
    x = 112,019.66

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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.