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Finding the Fourth Proportional to 152,212.76, 228,292.40 and 47,032.64

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Solution

The fourth proportional to 152,212.76, 228,292.40 and 47,032.64 is: 70,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,212.76 : 228,292.40 = 47,032.64 : x
  2. Step 2: Convert to fraction form
    152,212.76/228,292.40 = 47,032.64/x
  3. Step 3: Cross multiply
    152,212.76x = 228,292.40 × 47,032.64
  4. Step 4: Simplify right side
    152,212.76x = 10,737,193,240.06
  5. Step 5: Solve for x
    x = 10,737,193,240.06/152,212.76
  6. Step 6: Final answer
    x = 70,540.69

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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.