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Finding the Fourth Proportional to 253,475.54, 349,833.09 and 146,024.66

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Solution

The fourth proportional to 253,475.54, 349,833.09 and 146,024.66 is: 201,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,475.54 : 349,833.09 = 146,024.66 : x
  2. Step 2: Convert to fraction form
    253,475.54/349,833.09 = 146,024.66/x
  3. Step 3: Cross multiply
    253,475.54x = 349,833.09 × 146,024.66
  4. Step 4: Simplify right side
    253,475.54x = 51,084,258,024.00
  5. Step 5: Solve for x
    x = 51,084,258,024.00/253,475.54
  6. Step 6: Final answer
    x = 201,535.26

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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.