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Finding the Fourth Proportional to 145,533.41, 200,805.81 and 85,092.32

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Solution

The fourth proportional to 145,533.41, 200,805.81 and 85,092.32 is: 117,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,533.41 : 200,805.81 = 85,092.32 : x
  2. Step 2: Convert to fraction form
    145,533.41/200,805.81 = 85,092.32/x
  3. Step 3: Cross multiply
    145,533.41x = 200,805.81 × 85,092.32
  4. Step 4: Simplify right side
    145,533.41x = 17,087,032,242.38
  5. Step 5: Solve for x
    x = 17,087,032,242.38/145,533.41
  6. Step 6: Final answer
    x = 117,409.69

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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.