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Finding the Fourth Proportional to 153,672, 212,067.36 and 83,016

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Solution

The fourth proportional to 153,672, 212,067.36 and 83,016 is: 114,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,672 : 212,067.36 = 83,016 : x
  2. Step 2: Convert to fraction form
    153,672/212,067.36 = 83,016/x
  3. Step 3: Cross multiply
    153,672x = 212,067.36 × 83,016
  4. Step 4: Simplify right side
    153,672x = 17,604,983,957.76
  5. Step 5: Solve for x
    x = 17,604,983,957.76/153,672
  6. Step 6: Final answer
    x = 114,562.08

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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.