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Finding the Fourth Proportional to 224,071.61, 309,214.84 and 122,097.79

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Solution

The fourth proportional to 224,071.61, 309,214.84 and 122,097.79 is: 168,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,071.61 : 309,214.84 = 122,097.79 : x
  2. Step 2: Convert to fraction form
    224,071.61/309,214.84 = 122,097.79/x
  3. Step 3: Cross multiply
    224,071.61x = 309,214.84 × 122,097.79
  4. Step 4: Simplify right side
    224,071.61x = 37,754,446,442.64
  5. Step 5: Solve for x
    x = 37,754,446,442.64/224,071.61
  6. Step 6: Final answer
    x = 168,492.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.