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Finding the Fourth Proportional to 253,504.32, 349,913.70 and 146,145.96

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Solution

The fourth proportional to 253,504.32, 349,913.70 and 146,145.96 is: 201,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,504.32 : 349,913.70 = 146,145.96 : x
  2. Step 2: Convert to fraction form
    253,504.32/349,913.70 = 146,145.96/x
  3. Step 3: Cross multiply
    253,504.32x = 349,913.70 × 146,145.96
  4. Step 4: Simplify right side
    253,504.32x = 51,138,473,603.65
  5. Step 5: Solve for x
    x = 51,138,473,603.65/253,504.32
  6. Step 6: Final answer
    x = 201,726.24

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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.