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Finding the Fourth Proportional to 145,383.93, 200,568.15 and 88,762.50

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Solution

The fourth proportional to 145,383.93, 200,568.15 and 88,762.50 is: 122,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,383.93 : 200,568.15 = 88,762.50 : x
  2. Step 2: Convert to fraction form
    145,383.93/200,568.15 = 88,762.50/x
  3. Step 3: Cross multiply
    145,383.93x = 200,568.15 × 88,762.50
  4. Step 4: Simplify right side
    145,383.93x = 17,802,930,414.38
  5. Step 5: Solve for x
    x = 17,802,930,414.38/145,383.93
  6. Step 6: Final answer
    x = 122,454.60

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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.