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Finding the Fourth Proportional to 214,675.90, 322,161.48 and 74,434.51

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Solution

The fourth proportional to 214,675.90, 322,161.48 and 74,434.51 is: 111,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,675.90 : 322,161.48 = 74,434.51 : x
  2. Step 2: Convert to fraction form
    214,675.90/322,161.48 = 74,434.51/x
  3. Step 3: Cross multiply
    214,675.90x = 322,161.48 × 74,434.51
  4. Step 4: Simplify right side
    214,675.90x = 23,979,931,904.67
  5. Step 5: Solve for x
    x = 23,979,931,904.67/214,675.90
  6. Step 6: Final answer
    x = 111,702.95

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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.