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Finding the Fourth Proportional to 153,811.17, 212,259.13 and 85,824.05

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Solution

The fourth proportional to 153,811.17, 212,259.13 and 85,824.05 is: 118,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811.17 : 212,259.13 = 85,824.05 : x
  2. Step 2: Convert to fraction form
    153,811.17/212,259.13 = 85,824.05/x
  3. Step 3: Cross multiply
    153,811.17x = 212,259.13 × 85,824.05
  4. Step 4: Simplify right side
    153,811.17x = 18,216,936,910.22
  5. Step 5: Solve for x
    x = 18,216,936,910.22/153,811.17
  6. Step 6: Final answer
    x = 118,437.02

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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.