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Finding the Fourth Proportional to 201,055.08, 301,123.14 and 95,947.86

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Solution

The fourth proportional to 201,055.08, 301,123.14 and 95,947.86 is: 143,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,055.08 : 301,123.14 = 95,947.86 : x
  2. Step 2: Convert to fraction form
    201,055.08/301,123.14 = 95,947.86/x
  3. Step 3: Cross multiply
    201,055.08x = 301,123.14 × 95,947.86
  4. Step 4: Simplify right side
    201,055.08x = 28,892,119,373.86
  5. Step 5: Solve for x
    x = 28,892,119,373.86/201,055.08
  6. Step 6: Final answer
    x = 143,702.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.