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Finding the Fourth Proportional to 253,655.30, 350,044.16 and 140,477.96

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Solution

The fourth proportional to 253,655.30, 350,044.16 and 140,477.96 is: 193,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,655.30 : 350,044.16 = 140,477.96 : x
  2. Step 2: Convert to fraction form
    253,655.30/350,044.16 = 140,477.96/x
  3. Step 3: Cross multiply
    253,655.30x = 350,044.16 × 140,477.96
  4. Step 4: Simplify right side
    253,655.30x = 49,173,489,506.71
  5. Step 5: Solve for x
    x = 49,173,489,506.71/253,655.30
  6. Step 6: Final answer
    x = 193,859.50

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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.