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Finding the Fourth Proportional to 153,092, 211,286.76 and 86,024

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Solution

The fourth proportional to 153,092, 211,286.76 and 86,024 is: 118,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,092 : 211,286.76 = 86,024 : x
  2. Step 2: Convert to fraction form
    153,092/211,286.76 = 86,024/x
  3. Step 3: Cross multiply
    153,092x = 211,286.76 × 86,024
  4. Step 4: Simplify right side
    153,092x = 18,175,732,242.24
  5. Step 5: Solve for x
    x = 18,175,732,242.24/153,092
  6. Step 6: Final answer
    x = 118,724.25

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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.