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Finding the Fourth Proportional to 125,830.18, 188,777.94 and 46,945

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Solution

The fourth proportional to 125,830.18, 188,777.94 and 46,945 is: 70,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,830.18 : 188,777.94 = 46,945 : x
  2. Step 2: Convert to fraction form
    125,830.18/188,777.94 = 46,945/x
  3. Step 3: Cross multiply
    125,830.18x = 188,777.94 × 46,945
  4. Step 4: Simplify right side
    125,830.18x = 8,862,180,393.30
  5. Step 5: Solve for x
    x = 8,862,180,393.30/125,830.18
  6. Step 6: Final answer
    x = 70,429.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.