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Finding the Fourth Proportional to 153,821.81, 212,273.69 and 85,838.06

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Solution

The fourth proportional to 153,821.81, 212,273.69 and 85,838.06 is: 118,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,821.81 : 212,273.69 = 85,838.06 : x
  2. Step 2: Convert to fraction form
    153,821.81/212,273.69 = 85,838.06/x
  3. Step 3: Cross multiply
    153,821.81x = 212,273.69 × 85,838.06
  4. Step 4: Simplify right side
    153,821.81x = 18,221,161,738.64
  5. Step 5: Solve for x
    x = 18,221,161,738.64/153,821.81
  6. Step 6: Final answer
    x = 118,456.30

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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.