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Finding the Fourth Proportional to 152,235.84, 228,269.92 and 47,025.60

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Solution

The fourth proportional to 152,235.84, 228,269.92 and 47,025.60 is: 70,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,235.84 : 228,269.92 = 47,025.60 : x
  2. Step 2: Convert to fraction form
    152,235.84/228,269.92 = 47,025.60/x
  3. Step 3: Cross multiply
    152,235.84x = 228,269.92 × 47,025.60
  4. Step 4: Simplify right side
    152,235.84x = 10,734,529,949.95
  5. Step 5: Solve for x
    x = 10,734,529,949.95/152,235.84
  6. Step 6: Final answer
    x = 70,512.50

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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.