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Finding the Fourth Proportional to 105,757, 145,950.42 and 61,059.40

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Solution

The fourth proportional to 105,757, 145,950.42 and 61,059.40 is: 84,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757 : 145,950.42 = 61,059.40 : x
  2. Step 2: Convert to fraction form
    105,757/145,950.42 = 61,059.40/x
  3. Step 3: Cross multiply
    105,757x = 145,950.42 × 61,059.40
  4. Step 4: Simplify right side
    105,757x = 8,911,645,074.95
  5. Step 5: Solve for x
    x = 8,911,645,074.95/105,757
  6. Step 6: Final answer
    x = 84,265.30

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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.