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Finding the Fourth Proportional to 224,751.84, 310,131.12 and 124,143.84

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Solution

The fourth proportional to 224,751.84, 310,131.12 and 124,143.84 is: 171,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,751.84 : 310,131.12 = 124,143.84 : x
  2. Step 2: Convert to fraction form
    224,751.84/310,131.12 = 124,143.84/x
  3. Step 3: Cross multiply
    224,751.84x = 310,131.12 × 124,143.84
  4. Step 4: Simplify right side
    224,751.84x = 38,500,868,140.30
  5. Step 5: Solve for x
    x = 38,500,868,140.30/224,751.84
  6. Step 6: Final answer
    x = 171,303.91

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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.