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Finding the Fourth Proportional to 136,914.90, 205,391.82 and 42,153

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Solution

The fourth proportional to 136,914.90, 205,391.82 and 42,153 is: 63,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,914.90 : 205,391.82 = 42,153 : x
  2. Step 2: Convert to fraction form
    136,914.90/205,391.82 = 42,153/x
  3. Step 3: Cross multiply
    136,914.90x = 205,391.82 × 42,153
  4. Step 4: Simplify right side
    136,914.90x = 8,657,881,388.46
  5. Step 5: Solve for x
    x = 8,657,881,388.46/136,914.90
  6. Step 6: Final answer
    x = 63,235.49

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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.