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Finding the Fourth Proportional to 145,144.98, 200,265.03 and 84,681.12

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Solution

The fourth proportional to 145,144.98, 200,265.03 and 84,681.12 is: 116,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144.98 : 200,265.03 = 84,681.12 : x
  2. Step 2: Convert to fraction form
    145,144.98/200,265.03 = 84,681.12/x
  3. Step 3: Cross multiply
    145,144.98x = 200,265.03 × 84,681.12
  4. Step 4: Simplify right side
    145,144.98x = 16,958,667,037.23
  5. Step 5: Solve for x
    x = 16,958,667,037.23/145,144.98
  6. Step 6: Final answer
    x = 116,839.50

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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.