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Finding the Fourth Proportional to 201,897.16, 302,893.32 and 113,211.88

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Solution

The fourth proportional to 201,897.16, 302,893.32 and 113,211.88 is: 169,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.16 : 302,893.32 = 113,211.88 : x
  2. Step 2: Convert to fraction form
    201,897.16/302,893.32 = 113,211.88/x
  3. Step 3: Cross multiply
    201,897.16x = 302,893.32 × 113,211.88
  4. Step 4: Simplify right side
    201,897.16x = 34,291,121,863.95
  5. Step 5: Solve for x
    x = 34,291,121,863.95/201,897.16
  6. Step 6: Final answer
    x = 169,844.50

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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.