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Finding the Fourth Proportional to 230,455.80, 345,683.70 and 141,420.60

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Solution

The fourth proportional to 230,455.80, 345,683.70 and 141,420.60 is: 212,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,455.80 : 345,683.70 = 141,420.60 : x
  2. Step 2: Convert to fraction form
    230,455.80/345,683.70 = 141,420.60/x
  3. Step 3: Cross multiply
    230,455.80x = 345,683.70 × 141,420.60
  4. Step 4: Simplify right side
    230,455.80x = 48,886,796,264.22
  5. Step 5: Solve for x
    x = 48,886,796,264.22/230,455.80
  6. Step 6: Final answer
    x = 212,130.90

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1.5x scale

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.