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Finding the Fourth Proportional to 145,258.54, 200,456.90 and 81,596.38

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Solution

The fourth proportional to 145,258.54, 200,456.90 and 81,596.38 is: 112,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,258.54 : 200,456.90 = 81,596.38 : x
  2. Step 2: Convert to fraction form
    145,258.54/200,456.90 = 81,596.38/x
  3. Step 3: Cross multiply
    145,258.54x = 200,456.90 × 81,596.38
  4. Step 4: Simplify right side
    145,258.54x = 16,356,557,386.02
  5. Step 5: Solve for x
    x = 16,356,557,386.02/145,258.54
  6. Step 6: Final answer
    x = 112,603.07

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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.