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Finding the Fourth Proportional to 230,838.40, 318,356.20 and 162,735.20

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Solution

The fourth proportional to 230,838.40, 318,356.20 and 162,735.20 is: 224,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,838.40 : 318,356.20 = 162,735.20 : x
  2. Step 2: Convert to fraction form
    230,838.40/318,356.20 = 162,735.20/x
  3. Step 3: Cross multiply
    230,838.40x = 318,356.20 × 162,735.20
  4. Step 4: Simplify right side
    230,838.40x = 51,807,759,878.24
  5. Step 5: Solve for x
    x = 51,807,759,878.24/230,838.40
  6. Step 6: Final answer
    x = 224,433.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.