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Finding the Fourth Proportional to 224,225.38, 309,430.95 and 122,250.93

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Solution

The fourth proportional to 224,225.38, 309,430.95 and 122,250.93 is: 168,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,225.38 : 309,430.95 = 122,250.93 : x
  2. Step 2: Convert to fraction form
    224,225.38/309,430.95 = 122,250.93/x
  3. Step 3: Cross multiply
    224,225.38x = 309,430.95 × 122,250.93
  4. Step 4: Simplify right side
    224,225.38x = 37,828,221,408.28
  5. Step 5: Solve for x
    x = 37,828,221,408.28/224,225.38
  6. Step 6: Final answer
    x = 168,706.24

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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.