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Finding the Fourth Proportional to 145,004.68, 200,090.82 and 83,747.08

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Solution

The fourth proportional to 145,004.68, 200,090.82 and 83,747.08 is: 115,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,004.68 : 200,090.82 = 83,747.08 : x
  2. Step 2: Convert to fraction form
    145,004.68/200,090.82 = 83,747.08/x
  3. Step 3: Cross multiply
    145,004.68x = 200,090.82 × 83,747.08
  4. Step 4: Simplify right side
    145,004.68x = 16,757,021,909.81
  5. Step 5: Solve for x
    x = 16,757,021,909.81/145,004.68
  6. Step 6: Final answer
    x = 115,561.94

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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.