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Finding the Fourth Proportional to 228,066.71, 314,731.27 and 127,464.71

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Solution

The fourth proportional to 228,066.71, 314,731.27 and 127,464.71 is: 175,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,066.71 : 314,731.27 = 127,464.71 : x
  2. Step 2: Convert to fraction form
    228,066.71/314,731.27 = 127,464.71/x
  3. Step 3: Cross multiply
    228,066.71x = 314,731.27 × 127,464.71
  4. Step 4: Simplify right side
    228,066.71x = 40,117,130,058.48
  5. Step 5: Solve for x
    x = 40,117,130,058.48/228,066.71
  6. Step 6: Final answer
    x = 175,900.86

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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.