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Finding the Fourth Proportional to 224,030.12, 309,161.38 and 123,428.12

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Solution

The fourth proportional to 224,030.12, 309,161.38 and 123,428.12 is: 170,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,030.12 : 309,161.38 = 123,428.12 : x
  2. Step 2: Convert to fraction form
    224,030.12/309,161.38 = 123,428.12/x
  3. Step 3: Cross multiply
    224,030.12x = 309,161.38 × 123,428.12
  4. Step 4: Simplify right side
    224,030.12x = 38,159,207,910.01
  5. Step 5: Solve for x
    x = 38,159,207,910.01/224,030.12
  6. Step 6: Final answer
    x = 170,330.70

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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.