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Finding the Fourth Proportional to 349,502.60, 523,908.30 and 138,859.40

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Solution

The fourth proportional to 349,502.60, 523,908.30 and 138,859.40 is: 208,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,502.60 : 523,908.30 = 138,859.40 : x
  2. Step 2: Convert to fraction form
    349,502.60/523,908.30 = 138,859.40/x
  3. Step 3: Cross multiply
    349,502.60x = 523,908.30 × 138,859.40
  4. Step 4: Simplify right side
    349,502.60x = 72,749,592,193.02
  5. Step 5: Solve for x
    x = 72,749,592,193.02/349,502.60
  6. Step 6: Final answer
    x = 208,151.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.