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Finding the Fourth Proportional to 153,883.84, 212,370.38 and 85,914.18

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Solution

The fourth proportional to 153,883.84, 212,370.38 and 85,914.18 is: 118,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,883.84 : 212,370.38 = 85,914.18 : x
  2. Step 2: Convert to fraction form
    153,883.84/212,370.38 = 85,914.18/x
  3. Step 3: Cross multiply
    153,883.84x = 212,370.38 × 85,914.18
  4. Step 4: Simplify right side
    153,883.84x = 18,245,627,053.99
  5. Step 5: Solve for x
    x = 18,245,627,053.99/153,883.84
  6. Step 6: Final answer
    x = 118,567.53

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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.