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Finding the Fourth Proportional to 152,223.71, 228,357.43 and 47,050.88

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Solution

The fourth proportional to 152,223.71, 228,357.43 and 47,050.88 is: 70,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,223.71 : 228,357.43 = 47,050.88 : x
  2. Step 2: Convert to fraction form
    152,223.71/228,357.43 = 47,050.88/x
  3. Step 3: Cross multiply
    152,223.71x = 228,357.43 × 47,050.88
  4. Step 4: Simplify right side
    152,223.71x = 10,744,416,776.62
  5. Step 5: Solve for x
    x = 10,744,416,776.62/152,223.71
  6. Step 6: Final answer
    x = 70,583.07

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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.