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Finding the Fourth Proportional to 102,897.32, 141,918.18 and 68,895

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Solution

The fourth proportional to 102,897.32, 141,918.18 and 68,895 is: 95,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,897.32 : 141,918.18 = 68,895 : x
  2. Step 2: Convert to fraction form
    102,897.32/141,918.18 = 68,895/x
  3. Step 3: Cross multiply
    102,897.32x = 141,918.18 × 68,895
  4. Step 4: Simplify right side
    102,897.32x = 9,777,453,011.10
  5. Step 5: Solve for x
    x = 9,777,453,011.10/102,897.32
  6. Step 6: Final answer
    x = 95,021.45

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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.