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Finding the Fourth Proportional to 152,956.58, 229,434.87 and 47,783.84

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Solution

The fourth proportional to 152,956.58, 229,434.87 and 47,783.84 is: 71,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.58 : 229,434.87 = 47,783.84 : x
  2. Step 2: Convert to fraction form
    152,956.58/229,434.87 = 47,783.84/x
  3. Step 3: Cross multiply
    152,956.58x = 229,434.87 × 47,783.84
  4. Step 4: Simplify right side
    152,956.58x = 10,963,279,118.50
  5. Step 5: Solve for x
    x = 10,963,279,118.50/152,956.58
  6. Step 6: Final answer
    x = 71,675.76

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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.