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Finding the Fourth Proportional to 253,486.23, 349,827.74 and 146,063.04

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Solution

The fourth proportional to 253,486.23, 349,827.74 and 146,063.04 is: 201,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,486.23 : 349,827.74 = 146,063.04 : x
  2. Step 2: Convert to fraction form
    253,486.23/349,827.74 = 146,063.04/x
  3. Step 3: Cross multiply
    253,486.23x = 349,827.74 × 146,063.04
  4. Step 4: Simplify right side
    253,486.23x = 51,096,900,701.28
  5. Step 5: Solve for x
    x = 51,096,900,701.28/253,486.23
  6. Step 6: Final answer
    x = 201,576.64

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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.