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Finding the Fourth Proportional to 228,097.88, 314,765.16 and 124,730.16

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Solution

The fourth proportional to 228,097.88, 314,765.16 and 124,730.16 is: 172,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,097.88 : 314,765.16 = 124,730.16 : x
  2. Step 2: Convert to fraction form
    228,097.88/314,765.16 = 124,730.16/x
  3. Step 3: Cross multiply
    228,097.88x = 314,765.16 × 124,730.16
  4. Step 4: Simplify right side
    228,097.88x = 39,260,708,769.23
  5. Step 5: Solve for x
    x = 39,260,708,769.23/228,097.88
  6. Step 6: Final answer
    x = 172,122.20

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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.