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Finding the Fourth Proportional to 102,855.42, 154,341.45 and 40,569.66

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Solution

The fourth proportional to 102,855.42, 154,341.45 and 40,569.66 is: 60,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.42 : 154,341.45 = 40,569.66 : x
  2. Step 2: Convert to fraction form
    102,855.42/154,341.45 = 40,569.66/x
  3. Step 3: Cross multiply
    102,855.42x = 154,341.45 × 40,569.66
  4. Step 4: Simplify right side
    102,855.42x = 6,261,580,150.41
  5. Step 5: Solve for x
    x = 6,261,580,150.41/102,855.42
  6. Step 6: Final answer
    x = 60,877.49

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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.