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Finding the Fourth Proportional to 224,782.16, 310,205.64 and 124,186.64

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Solution

The fourth proportional to 224,782.16, 310,205.64 and 124,186.64 is: 171,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,782.16 : 310,205.64 = 124,186.64 : x
  2. Step 2: Convert to fraction form
    224,782.16/310,205.64 = 124,186.64/x
  3. Step 3: Cross multiply
    224,782.16x = 310,205.64 × 124,186.64
  4. Step 4: Simplify right side
    224,782.16x = 38,523,396,140.65
  5. Step 5: Solve for x
    x = 38,523,396,140.65/224,782.16
  6. Step 6: Final answer
    x = 171,381.02

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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.