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Finding the Fourth Proportional to 206,758.23, 310,199.61 and 64,597.77

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Solution

The fourth proportional to 206,758.23, 310,199.61 and 64,597.77 is: 96,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,758.23 : 310,199.61 = 64,597.77 : x
  2. Step 2: Convert to fraction form
    206,758.23/310,199.61 = 64,597.77/x
  3. Step 3: Cross multiply
    206,758.23x = 310,199.61 × 64,597.77
  4. Step 4: Simplify right side
    206,758.23x = 20,038,203,060.87
  5. Step 5: Solve for x
    x = 20,038,203,060.87/206,758.23
  6. Step 6: Final answer
    x = 96,916.11

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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.