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Finding the Fourth Proportional to 224,429.50, 309,719.19 and 123,833.98

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Solution

The fourth proportional to 224,429.50, 309,719.19 and 123,833.98 is: 170,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429.50 : 309,719.19 = 123,833.98 : x
  2. Step 2: Convert to fraction form
    224,429.50/309,719.19 = 123,833.98/x
  3. Step 3: Cross multiply
    224,429.50x = 309,719.19 × 123,833.98
  4. Step 4: Simplify right side
    224,429.50x = 38,353,759,980.08
  5. Step 5: Solve for x
    x = 38,353,759,980.08/224,429.50
  6. Step 6: Final answer
    x = 170,894.47

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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.