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Finding the Fourth Proportional to 474,140.88, 711,104.76 and 137,106.36

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Solution

The fourth proportional to 474,140.88, 711,104.76 and 137,106.36 is: 205,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,140.88 : 711,104.76 = 137,106.36 : x
  2. Step 2: Convert to fraction form
    474,140.88/711,104.76 = 137,106.36/x
  3. Step 3: Cross multiply
    474,140.88x = 711,104.76 × 137,106.36
  4. Step 4: Simplify right side
    474,140.88x = 97,496,985,222.27
  5. Step 5: Solve for x
    x = 97,496,985,222.27/474,140.88
  6. Step 6: Final answer
    x = 205,628.73

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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.