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Finding the Fourth Proportional to 103,208.58, 142,433.58 and 77,669

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Solution

The fourth proportional to 103,208.58, 142,433.58 and 77,669 is: 107,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,208.58 : 142,433.58 = 77,669 : x
  2. Step 2: Convert to fraction form
    103,208.58/142,433.58 = 77,669/x
  3. Step 3: Cross multiply
    103,208.58x = 142,433.58 × 77,669
  4. Step 4: Simplify right side
    103,208.58x = 11,062,673,725.02
  5. Step 5: Solve for x
    x = 11,062,673,725.02/103,208.58
  6. Step 6: Final answer
    x = 107,187.54

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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.