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Finding the Fourth Proportional to 102,740.46, 154,123.04 and 36,166.76

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Solution

The fourth proportional to 102,740.46, 154,123.04 and 36,166.76 is: 54,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,740.46 : 154,123.04 = 36,166.76 : x
  2. Step 2: Convert to fraction form
    102,740.46/154,123.04 = 36,166.76/x
  3. Step 3: Cross multiply
    102,740.46x = 154,123.04 × 36,166.76
  4. Step 4: Simplify right side
    102,740.46x = 5,574,130,998.15
  5. Step 5: Solve for x
    x = 5,574,130,998.15/102,740.46
  6. Step 6: Final answer
    x = 54,254.49

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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.