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Finding the Fourth Proportional to 105,762, 145,951.56 and 61,050

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Solution

The fourth proportional to 105,762, 145,951.56 and 61,050 is: 84,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762 : 145,951.56 = 61,050 : x
  2. Step 2: Convert to fraction form
    105,762/145,951.56 = 61,050/x
  3. Step 3: Cross multiply
    105,762x = 145,951.56 × 61,050
  4. Step 4: Simplify right side
    105,762x = 8,910,342,738
  5. Step 5: Solve for x
    x = 8,910,342,738/105,762
  6. Step 6: Final answer
    x = 84,249

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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.