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Finding the Fourth Proportional to 211,971.52, 292,436.88 and 136,564

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Solution

The fourth proportional to 211,971.52, 292,436.88 and 136,564 is: 188,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,971.52 : 292,436.88 = 136,564 : x
  2. Step 2: Convert to fraction form
    211,971.52/292,436.88 = 136,564/x
  3. Step 3: Cross multiply
    211,971.52x = 292,436.88 × 136,564
  4. Step 4: Simplify right side
    211,971.52x = 39,936,350,080.32
  5. Step 5: Solve for x
    x = 39,936,350,080.32/211,971.52
  6. Step 6: Final answer
    x = 188,404.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.