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Finding the Fourth Proportional to 219,428.40, 329,169 and 77,244.15

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Solution

The fourth proportional to 219,428.40, 329,169 and 77,244.15 is: 115,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,428.40 : 329,169 = 77,244.15 : x
  2. Step 2: Convert to fraction form
    219,428.40/329,169 = 77,244.15/x
  3. Step 3: Cross multiply
    219,428.40x = 329,169 × 77,244.15
  4. Step 4: Simplify right side
    219,428.40x = 25,426,379,611.35
  5. Step 5: Solve for x
    x = 25,426,379,611.35/219,428.40
  6. Step 6: Final answer
    x = 115,875.52

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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.