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Finding the Fourth Proportional to 103,742, 143,173.68 and 59,030

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Solution

The fourth proportional to 103,742, 143,173.68 and 59,030 is: 81,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,742 : 143,173.68 = 59,030 : x
  2. Step 2: Convert to fraction form
    103,742/143,173.68 = 59,030/x
  3. Step 3: Cross multiply
    103,742x = 143,173.68 × 59,030
  4. Step 4: Simplify right side
    103,742x = 8,451,542,330.40
  5. Step 5: Solve for x
    x = 8,451,542,330.40/103,742
  6. Step 6: Final answer
    x = 81,466.93

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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.