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Finding the Fourth Proportional to 210,325.30, 314,873.55 and 188,206.90

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Solution

The fourth proportional to 210,325.30, 314,873.55 and 188,206.90 is: 281,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,325.30 : 314,873.55 = 188,206.90 : x
  2. Step 2: Convert to fraction form
    210,325.30/314,873.55 = 188,206.90/x
  3. Step 3: Cross multiply
    210,325.30x = 314,873.55 × 188,206.90
  4. Step 4: Simplify right side
    210,325.30x = 59,261,374,737.50
  5. Step 5: Solve for x
    x = 59,261,374,737.50/210,325.30
  6. Step 6: Final answer
    x = 281,760.56

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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.