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Finding the Fourth Proportional to 206,598.36, 310,063.62 and 106,787.82

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Solution

The fourth proportional to 206,598.36, 310,063.62 and 106,787.82 is: 160,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,598.36 : 310,063.62 = 106,787.82 : x
  2. Step 2: Convert to fraction form
    206,598.36/310,063.62 = 106,787.82/x
  3. Step 3: Cross multiply
    206,598.36x = 310,063.62 × 106,787.82
  4. Step 4: Simplify right side
    206,598.36x = 33,111,018,041.11
  5. Step 5: Solve for x
    x = 33,111,018,041.11/206,598.36
  6. Step 6: Final answer
    x = 160,267.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.