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Finding the Fourth Proportional to 224,071.40, 309,214.91 and 122,098.17

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Solution

The fourth proportional to 224,071.40, 309,214.91 and 122,098.17 is: 168,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071.40 : 309,214.91 = 122,098.17 : x
  2. Step 2: Convert to fraction form
    224,071.40/309,214.91 = 122,098.17/x
  3. Step 3: Cross multiply
    224,071.40x = 309,214.91 × 122,098.17
  4. Step 4: Simplify right side
    224,071.40x = 37,754,574,037.22
  5. Step 5: Solve for x
    x = 37,754,574,037.22/224,071.40
  6. Step 6: Final answer
    x = 168,493.50

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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.