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Finding the Fourth Proportional to 145,488.33, 200,743.77 and 85,047.27

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Solution

The fourth proportional to 145,488.33, 200,743.77 and 85,047.27 is: 117,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,488.33 : 200,743.77 = 85,047.27 : x
  2. Step 2: Convert to fraction form
    145,488.33/200,743.77 = 85,047.27/x
  3. Step 3: Cross multiply
    145,488.33x = 200,743.77 × 85,047.27
  4. Step 4: Simplify right side
    145,488.33x = 17,072,709,608.01
  5. Step 5: Solve for x
    x = 17,072,709,608.01/145,488.33
  6. Step 6: Final answer
    x = 117,347.62

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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.