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Finding the Fourth Proportional to 105,787, 145,986.06 and 61,075

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Solution

The fourth proportional to 105,787, 145,986.06 and 61,075 is: 84,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,787 : 145,986.06 = 61,075 : x
  2. Step 2: Convert to fraction form
    105,787/145,986.06 = 61,075/x
  3. Step 3: Cross multiply
    105,787x = 145,986.06 × 61,075
  4. Step 4: Simplify right side
    105,787x = 8,916,098,614.50
  5. Step 5: Solve for x
    x = 8,916,098,614.50/105,787
  6. Step 6: Final answer
    x = 84,283.50

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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.