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Finding the Fourth Proportional to 152,953.80, 229,430.70 and 110,744.70

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Solution

The fourth proportional to 152,953.80, 229,430.70 and 110,744.70 is: 166,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,953.80 : 229,430.70 = 110,744.70 : x
  2. Step 2: Convert to fraction form
    152,953.80/229,430.70 = 110,744.70/x
  3. Step 3: Cross multiply
    152,953.80x = 229,430.70 × 110,744.70
  4. Step 4: Simplify right side
    152,953.80x = 25,408,234,042.29
  5. Step 5: Solve for x
    x = 25,408,234,042.29/152,953.80
  6. Step 6: Final answer
    x = 166,117.05

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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.