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Finding the Fourth Proportional to 101,742.13, 140,411.33 and 56,424.45

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Solution

The fourth proportional to 101,742.13, 140,411.33 and 56,424.45 is: 77,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.13 : 140,411.33 = 56,424.45 : x
  2. Step 2: Convert to fraction form
    101,742.13/140,411.33 = 56,424.45/x
  3. Step 3: Cross multiply
    101,742.13x = 140,411.33 × 56,424.45
  4. Step 4: Simplify right side
    101,742.13x = 7,922,632,210.08
  5. Step 5: Solve for x
    x = 7,922,632,210.08/101,742.13
  6. Step 6: Final answer
    x = 77,869.73

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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.