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Finding the Fourth Proportional to 137,386.90, 189,407.77 and 117,457.86

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Solution

The fourth proportional to 137,386.90, 189,407.77 and 117,457.86 is: 161,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,386.90 : 189,407.77 = 117,457.86 : x
  2. Step 2: Convert to fraction form
    137,386.90/189,407.77 = 117,457.86/x
  3. Step 3: Cross multiply
    137,386.90x = 189,407.77 × 117,457.86
  4. Step 4: Simplify right side
    137,386.90x = 22,247,431,331.57
  5. Step 5: Solve for x
    x = 22,247,431,331.57/137,386.90
  6. Step 6: Final answer
    x = 161,932.70

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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.