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Finding the Fourth Proportional to 152,602.90, 228,933.05 and 61,425.27

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Solution

The fourth proportional to 152,602.90, 228,933.05 and 61,425.27 is: 92,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,602.90 : 228,933.05 = 61,425.27 : x
  2. Step 2: Convert to fraction form
    152,602.90/228,933.05 = 61,425.27/x
  3. Step 3: Cross multiply
    152,602.90x = 228,933.05 × 61,425.27
  4. Step 4: Simplify right side
    152,602.90x = 14,062,274,101.05
  5. Step 5: Solve for x
    x = 14,062,274,101.05/152,602.90
  6. Step 6: Final answer
    x = 92,149.46

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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.