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Finding the Fourth Proportional to 224,858.22, 310,321.98 and 128,066.16

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Solution

The fourth proportional to 224,858.22, 310,321.98 and 128,066.16 is: 176,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,858.22 : 310,321.98 = 128,066.16 : x
  2. Step 2: Convert to fraction form
    224,858.22/310,321.98 = 128,066.16/x
  3. Step 3: Cross multiply
    224,858.22x = 310,321.98 × 128,066.16
  4. Step 4: Simplify right side
    224,858.22x = 39,741,744,342.20
  5. Step 5: Solve for x
    x = 39,741,744,342.20/224,858.22
  6. Step 6: Final answer
    x = 176,741.35

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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.