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Finding the Fourth Proportional to 103,442.69, 142,742.07 and 58,117.11

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Solution

The fourth proportional to 103,442.69, 142,742.07 and 58,117.11 is: 80,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,442.69 : 142,742.07 = 58,117.11 : x
  2. Step 2: Convert to fraction form
    103,442.69/142,742.07 = 58,117.11/x
  3. Step 3: Cross multiply
    103,442.69x = 142,742.07 × 58,117.11
  4. Step 4: Simplify right side
    103,442.69x = 8,295,756,583.82
  5. Step 5: Solve for x
    x = 8,295,756,583.82/103,442.69
  6. Step 6: Final answer
    x = 80,196.65

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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.