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Finding the Fourth Proportional to 227,816.30, 314,384.49 and 125,848.87

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Solution

The fourth proportional to 227,816.30, 314,384.49 and 125,848.87 is: 173,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,816.30 : 314,384.49 = 125,848.87 : x
  2. Step 2: Convert to fraction form
    227,816.30/314,384.49 = 125,848.87/x
  3. Step 3: Cross multiply
    227,816.30x = 314,384.49 × 125,848.87
  4. Step 4: Simplify right side
    227,816.30x = 39,564,932,026.07
  5. Step 5: Solve for x
    x = 39,564,932,026.07/227,816.30
  6. Step 6: Final answer
    x = 173,670.33

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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.