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Finding the Fourth Proportional to 145,897.33, 201,339.85 and 82,235.13

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Solution

The fourth proportional to 145,897.33, 201,339.85 and 82,235.13 is: 113,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,897.33 : 201,339.85 = 82,235.13 : x
  2. Step 2: Convert to fraction form
    145,897.33/201,339.85 = 82,235.13/x
  3. Step 3: Cross multiply
    145,897.33x = 201,339.85 × 82,235.13
  4. Step 4: Simplify right side
    145,897.33x = 16,557,208,738.93
  5. Step 5: Solve for x
    x = 16,557,208,738.93/145,897.33
  6. Step 6: Final answer
    x = 113,485.34

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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.