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Finding the Fourth Proportional to 137,392.14, 189,506.40 and 96,642.66

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Solution

The fourth proportional to 137,392.14, 189,506.40 and 96,642.66 is: 133,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,392.14 : 189,506.40 = 96,642.66 : x
  2. Step 2: Convert to fraction form
    137,392.14/189,506.40 = 96,642.66/x
  3. Step 3: Cross multiply
    137,392.14x = 189,506.40 × 96,642.66
  4. Step 4: Simplify right side
    137,392.14x = 18,314,402,583.02
  5. Step 5: Solve for x
    x = 18,314,402,583.02/137,392.14
  6. Step 6: Final answer
    x = 133,300.22

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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.