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Finding the Fourth Proportional to 253,228.84, 349,461.06 and 140,059.24

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Solution

The fourth proportional to 253,228.84, 349,461.06 and 140,059.24 is: 193,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,228.84 : 349,461.06 = 140,059.24 : x
  2. Step 2: Convert to fraction form
    253,228.84/349,461.06 = 140,059.24/x
  3. Step 3: Cross multiply
    253,228.84x = 349,461.06 × 140,059.24
  4. Step 4: Simplify right side
    253,228.84x = 48,945,250,473.19
  5. Step 5: Solve for x
    x = 48,945,250,473.19/253,228.84
  6. Step 6: Final answer
    x = 193,284.66

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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.