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Finding the Fourth Proportional to 206,722.60, 310,083.90 and 160,066.60

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Solution

The fourth proportional to 206,722.60, 310,083.90 and 160,066.60 is: 240,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,722.60 : 310,083.90 = 160,066.60 : x
  2. Step 2: Convert to fraction form
    206,722.60/310,083.90 = 160,066.60/x
  3. Step 3: Cross multiply
    206,722.60x = 310,083.90 × 160,066.60
  4. Step 4: Simplify right side
    206,722.60x = 49,634,075,587.74
  5. Step 5: Solve for x
    x = 49,634,075,587.74/206,722.60
  6. Step 6: Final answer
    x = 240,099.90

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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.