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Finding the Fourth Proportional to 224,815.70, 310,241.91 and 122,838.93

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Solution

The fourth proportional to 224,815.70, 310,241.91 and 122,838.93 is: 169,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,815.70 : 310,241.91 = 122,838.93 : x
  2. Step 2: Convert to fraction form
    224,815.70/310,241.91 = 122,838.93/x
  3. Step 3: Cross multiply
    224,815.70x = 310,241.91 × 122,838.93
  4. Step 4: Simplify right side
    224,815.70x = 38,109,784,726.20
  5. Step 5: Solve for x
    x = 38,109,784,726.20/224,815.70
  6. Step 6: Final answer
    x = 169,515.67

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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.