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Finding the Fourth Proportional to 230,878.30, 345,989.40 and 160,675.60

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Solution

The fourth proportional to 230,878.30, 345,989.40 and 160,675.60 is: 240,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,878.30 : 345,989.40 = 160,675.60 : x
  2. Step 2: Convert to fraction form
    230,878.30/345,989.40 = 160,675.60/x
  3. Step 3: Cross multiply
    230,878.30x = 345,989.40 × 160,675.60
  4. Step 4: Simplify right side
    230,878.30x = 55,592,054,438.64
  5. Step 5: Solve for x
    x = 55,592,054,438.64/230,878.30
  6. Step 6: Final answer
    x = 240,785.10

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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.