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Finding the Fourth Proportional to 152,474.60, 228,711.90 and 102,578.60

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Solution

The fourth proportional to 152,474.60, 228,711.90 and 102,578.60 is: 153,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,474.60 : 228,711.90 = 102,578.60 : x
  2. Step 2: Convert to fraction form
    152,474.60/228,711.90 = 102,578.60/x
  3. Step 3: Cross multiply
    152,474.60x = 228,711.90 × 102,578.60
  4. Step 4: Simplify right side
    152,474.60x = 23,460,946,505.34
  5. Step 5: Solve for x
    x = 23,460,946,505.34/152,474.60
  6. Step 6: Final answer
    x = 153,867.90

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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.