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Finding the Fourth Proportional to 253,751.78, 350,214.75 and 146,300.82

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Solution

The fourth proportional to 253,751.78, 350,214.75 and 146,300.82 is: 201,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,751.78 : 350,214.75 = 146,300.82 : x
  2. Step 2: Convert to fraction form
    253,751.78/350,214.75 = 146,300.82/x
  3. Step 3: Cross multiply
    253,751.78x = 350,214.75 × 146,300.82
  4. Step 4: Simplify right side
    253,751.78x = 51,236,705,101.10
  5. Step 5: Solve for x
    x = 51,236,705,101.10/253,751.78
  6. Step 6: Final answer
    x = 201,916.64

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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.