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Finding the Fourth Proportional to 152,602.21, 228,932.03 and 61,424.58

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Solution

The fourth proportional to 152,602.21, 228,932.03 and 61,424.58 is: 92,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,602.21 : 228,932.03 = 61,424.58 : x
  2. Step 2: Convert to fraction form
    152,602.21/228,932.03 = 61,424.58/x
  3. Step 3: Cross multiply
    152,602.21x = 228,932.03 × 61,424.58
  4. Step 4: Simplify right side
    152,602.21x = 14,062,053,791.30
  5. Step 5: Solve for x
    x = 14,062,053,791.30/152,602.21
  6. Step 6: Final answer
    x = 92,148.43

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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.