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Finding the Fourth Proportional to 137,810.16, 189,738.10 and 117,585.88

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Solution

The fourth proportional to 137,810.16, 189,738.10 and 117,585.88 is: 161,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810.16 : 189,738.10 = 117,585.88 : x
  2. Step 2: Convert to fraction form
    137,810.16/189,738.10 = 117,585.88/x
  3. Step 3: Cross multiply
    137,810.16x = 189,738.10 × 117,585.88
  4. Step 4: Simplify right side
    137,810.16x = 22,310,521,277.65
  5. Step 5: Solve for x
    x = 22,310,521,277.65/137,810.16
  6. Step 6: Final answer
    x = 161,893.15

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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.