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Finding the Fourth Proportional to 253,893.15, 350,409.85 and 146,442.20

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Solution

The fourth proportional to 253,893.15, 350,409.85 and 146,442.20 is: 202,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,893.15 : 350,409.85 = 146,442.20 : x
  2. Step 2: Convert to fraction form
    253,893.15/350,409.85 = 146,442.20/x
  3. Step 3: Cross multiply
    253,893.15x = 350,409.85 × 146,442.20
  4. Step 4: Simplify right side
    253,893.15x = 51,314,787,217.52
  5. Step 5: Solve for x
    x = 51,314,787,217.52/253,893.15
  6. Step 6: Final answer
    x = 202,111.74

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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.