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Finding the Fourth Proportional to 152,276.70, 228,447.45 and 47,106.30

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Solution

The fourth proportional to 152,276.70, 228,447.45 and 47,106.30 is: 70,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,276.70 : 228,447.45 = 47,106.30 : x
  2. Step 2: Convert to fraction form
    152,276.70/228,447.45 = 47,106.30/x
  3. Step 3: Cross multiply
    152,276.70x = 228,447.45 × 47,106.30
  4. Step 4: Simplify right side
    152,276.70x = 10,761,314,113.94
  5. Step 5: Solve for x
    x = 10,761,314,113.94/152,276.70
  6. Step 6: Final answer
    x = 70,669.47

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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.