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Finding the Fourth Proportional to 145,598.56, 200,895.02 and 85,157.41

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Solution

The fourth proportional to 145,598.56, 200,895.02 and 85,157.41 is: 117,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,598.56 : 200,895.02 = 85,157.41 : x
  2. Step 2: Convert to fraction form
    145,598.56/200,895.02 = 85,157.41/x
  3. Step 3: Cross multiply
    145,598.56x = 200,895.02 × 85,157.41
  4. Step 4: Simplify right side
    145,598.56x = 17,107,699,353.09
  5. Step 5: Solve for x
    x = 17,107,699,353.09/145,598.56
  6. Step 6: Final answer
    x = 117,499.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.