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Finding the Fourth Proportional to 103,639.10, 143,016.44 and 61,182.14

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Solution

The fourth proportional to 103,639.10, 143,016.44 and 61,182.14 is: 84,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639.10 : 143,016.44 = 61,182.14 : x
  2. Step 2: Convert to fraction form
    103,639.10/143,016.44 = 61,182.14/x
  3. Step 3: Cross multiply
    103,639.10x = 143,016.44 × 61,182.14
  4. Step 4: Simplify right side
    103,639.10x = 8,750,051,854.38
  5. Step 5: Solve for x
    x = 8,750,051,854.38/103,639.10
  6. Step 6: Final answer
    x = 84,428.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.