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Finding the Fourth Proportional to 153,822.12, 212,274.13 and 85,838.37

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Solution

The fourth proportional to 153,822.12, 212,274.13 and 85,838.37 is: 118,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,822.12 : 212,274.13 = 85,838.37 : x
  2. Step 2: Convert to fraction form
    153,822.12/212,274.13 = 85,838.37/x
  3. Step 3: Cross multiply
    153,822.12x = 212,274.13 × 85,838.37
  4. Step 4: Simplify right side
    153,822.12x = 18,221,265,312.37
  5. Step 5: Solve for x
    x = 18,221,265,312.37/153,822.12
  6. Step 6: Final answer
    x = 118,456.73

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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.