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Finding the Fourth Proportional to 102,357.40, 153,317.40 and 84,861.40

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Solution

The fourth proportional to 102,357.40, 153,317.40 and 84,861.40 is: 127,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357.40 : 153,317.40 = 84,861.40 : x
  2. Step 2: Convert to fraction form
    102,357.40/153,317.40 = 84,861.40/x
  3. Step 3: Cross multiply
    102,357.40x = 153,317.40 × 84,861.40
  4. Step 4: Simplify right side
    102,357.40x = 13,010,729,208.36
  5. Step 5: Solve for x
    x = 13,010,729,208.36/102,357.40
  6. Step 6: Final answer
    x = 127,110.78

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