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Finding the Fourth Proportional to 153,690.12, 212,093.28 and 85,711.38

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Solution

The fourth proportional to 153,690.12, 212,093.28 and 85,711.38 is: 118,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,690.12 : 212,093.28 = 85,711.38 : x
  2. Step 2: Convert to fraction form
    153,690.12/212,093.28 = 85,711.38/x
  3. Step 3: Cross multiply
    153,690.12x = 212,093.28 × 85,711.38
  4. Step 4: Simplify right side
    153,690.12x = 18,178,807,717.53
  5. Step 5: Solve for x
    x = 18,178,807,717.53/153,690.12
  6. Step 6: Final answer
    x = 118,282.21

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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.