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Finding the Fourth Proportional to 152,705.76, 229,058.64 and 47,524.76

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Solution

The fourth proportional to 152,705.76, 229,058.64 and 47,524.76 is: 71,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,705.76 : 229,058.64 = 47,524.76 : x
  2. Step 2: Convert to fraction form
    152,705.76/229,058.64 = 47,524.76/x
  3. Step 3: Cross multiply
    152,705.76x = 229,058.64 × 47,524.76
  4. Step 4: Simplify right side
    152,705.76x = 10,885,956,891.93
  5. Step 5: Solve for x
    x = 10,885,956,891.93/152,705.76
  6. Step 6: Final answer
    x = 71,287.14

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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.