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Finding the Fourth Proportional to 145,898.08, 201,340.88 and 82,235.88

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Solution

The fourth proportional to 145,898.08, 201,340.88 and 82,235.88 is: 113,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,898.08 : 201,340.88 = 82,235.88 : x
  2. Step 2: Convert to fraction form
    145,898.08/201,340.88 = 82,235.88/x
  3. Step 3: Cross multiply
    145,898.08x = 201,340.88 × 82,235.88
  4. Step 4: Simplify right side
    145,898.08x = 16,557,444,446.77
  5. Step 5: Solve for x
    x = 16,557,444,446.77/145,898.08
  6. Step 6: Final answer
    x = 113,486.38

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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.