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Finding the Fourth Proportional to 152,674.71, 229,027.80 and 52,834.76

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Solution

The fourth proportional to 152,674.71, 229,027.80 and 52,834.76 is: 79,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,674.71 : 229,027.80 = 52,834.76 : x
  2. Step 2: Convert to fraction form
    152,674.71/229,027.80 = 52,834.76/x
  3. Step 3: Cross multiply
    152,674.71x = 229,027.80 × 52,834.76
  4. Step 4: Simplify right side
    152,674.71x = 12,100,627,701.19
  5. Step 5: Solve for x
    x = 12,100,627,701.19/152,674.71
  6. Step 6: Final answer
    x = 79,257.58

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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.