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Finding the Fourth Proportional to 152,438.30, 228,657.45 and 47,267.90

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Solution

The fourth proportional to 152,438.30, 228,657.45 and 47,267.90 is: 70,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,438.30 : 228,657.45 = 47,267.90 : x
  2. Step 2: Convert to fraction form
    152,438.30/228,657.45 = 47,267.90/x
  3. Step 3: Cross multiply
    152,438.30x = 228,657.45 × 47,267.90
  4. Step 4: Simplify right side
    152,438.30x = 10,808,157,480.86
  5. Step 5: Solve for x
    x = 10,808,157,480.86/152,438.30
  6. Step 6: Final answer
    x = 70,901.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.