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Finding the Fourth Proportional to 239,462, 359,194.80 and 106,306.46

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Solution

The fourth proportional to 239,462, 359,194.80 and 106,306.46 is: 159,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,462 : 359,194.80 = 106,306.46 : x
  2. Step 2: Convert to fraction form
    239,462/359,194.80 = 106,306.46/x
  3. Step 3: Cross multiply
    239,462x = 359,194.80 × 106,306.46
  4. Step 4: Simplify right side
    239,462x = 38,184,727,638.41
  5. Step 5: Solve for x
    x = 38,184,727,638.41/239,462
  6. Step 6: Final answer
    x = 159,460.49

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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.