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Finding the Fourth Proportional to 137,770.40, 190,123.04 and 77,341.16

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Solution

The fourth proportional to 137,770.40, 190,123.04 and 77,341.16 is: 106,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,770.40 : 190,123.04 = 77,341.16 : x
  2. Step 2: Convert to fraction form
    137,770.40/190,123.04 = 77,341.16/x
  3. Step 3: Cross multiply
    137,770.40x = 190,123.04 × 77,341.16
  4. Step 4: Simplify right side
    137,770.40x = 14,704,335,119.01
  5. Step 5: Solve for x
    x = 14,704,335,119.01/137,770.40
  6. Step 6: Final answer
    x = 106,730.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.