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Finding the Fourth Proportional to 227,564, 314,036.10 and 125,590.40

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Solution

The fourth proportional to 227,564, 314,036.10 and 125,590.40 is: 173,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,564 : 314,036.10 = 125,590.40 : x
  2. Step 2: Convert to fraction form
    227,564/314,036.10 = 125,590.40/x
  3. Step 3: Cross multiply
    227,564x = 314,036.10 × 125,590.40
  4. Step 4: Simplify right side
    227,564x = 39,439,919,413.44
  5. Step 5: Solve for x
    x = 39,439,919,413.44/227,564
  6. Step 6: Final answer
    x = 173,313.53

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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.