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Finding the Fourth Proportional to 105,242.82, 145,235.04 and 59,918.46

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Solution

The fourth proportional to 105,242.82, 145,235.04 and 59,918.46 is: 82,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,242.82 : 145,235.04 = 59,918.46 : x
  2. Step 2: Convert to fraction form
    105,242.82/145,235.04 = 59,918.46/x
  3. Step 3: Cross multiply
    105,242.82x = 145,235.04 × 59,918.46
  4. Step 4: Simplify right side
    105,242.82x = 8,702,259,934.84
  5. Step 5: Solve for x
    x = 8,702,259,934.84/105,242.82
  6. Step 6: Final answer
    x = 82,687.45

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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.