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Finding the Fourth Proportional to 137,645.10, 189,959.40 and 77,220

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Solution

The fourth proportional to 137,645.10, 189,959.40 and 77,220 is: 106,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,645.10 : 189,959.40 = 77,220 : x
  2. Step 2: Convert to fraction form
    137,645.10/189,959.40 = 77,220/x
  3. Step 3: Cross multiply
    137,645.10x = 189,959.40 × 77,220
  4. Step 4: Simplify right side
    137,645.10x = 14,668,664,868
  5. Step 5: Solve for x
    x = 14,668,664,868/137,645.10
  6. Step 6: Final answer
    x = 106,568.74

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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.