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Finding the Fourth Proportional to 228,066.65, 314,731.19 and 127,464.65

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Solution

The fourth proportional to 228,066.65, 314,731.19 and 127,464.65 is: 175,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,066.65 : 314,731.19 = 127,464.65 : x
  2. Step 2: Convert to fraction form
    228,066.65/314,731.19 = 127,464.65/x
  3. Step 3: Cross multiply
    228,066.65x = 314,731.19 × 127,464.65
  4. Step 4: Simplify right side
    228,066.65x = 40,117,099,553.28
  5. Step 5: Solve for x
    x = 40,117,099,553.28/228,066.65
  6. Step 6: Final answer
    x = 175,900.77

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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.