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Finding the Fourth Proportional to 224,645.86, 310,012.81 and 122,672.06

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Solution

The fourth proportional to 224,645.86, 310,012.81 and 122,672.06 is: 169,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,645.86 : 310,012.81 = 122,672.06 : x
  2. Step 2: Convert to fraction form
    224,645.86/310,012.81 = 122,672.06/x
  3. Step 3: Cross multiply
    224,645.86x = 310,012.81 × 122,672.06
  4. Step 4: Simplify right side
    224,645.86x = 38,029,908,172.34
  5. Step 5: Solve for x
    x = 38,029,908,172.34/224,645.86
  6. Step 6: Final answer
    x = 169,288.27

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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.