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Finding the Fourth Proportional to 214,084.38, 295,436.45 and 118,597.26

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Solution

The fourth proportional to 214,084.38, 295,436.45 and 118,597.26 is: 163,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,084.38 : 295,436.45 = 118,597.26 : x
  2. Step 2: Convert to fraction form
    214,084.38/295,436.45 = 118,597.26/x
  3. Step 3: Cross multiply
    214,084.38x = 295,436.45 × 118,597.26
  4. Step 4: Simplify right side
    214,084.38x = 35,037,953,474.13
  5. Step 5: Solve for x
    x = 35,037,953,474.13/214,084.38
  6. Step 6: Final answer
    x = 163,664.22

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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.