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Finding the Fourth Proportional to 228,052.80, 314,707.68 and 127,450.80

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Solution

The fourth proportional to 228,052.80, 314,707.68 and 127,450.80 is: 175,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.80 : 314,707.68 = 127,450.80 : x
  2. Step 2: Convert to fraction form
    228,052.80/314,707.68 = 127,450.80/x
  3. Step 3: Cross multiply
    228,052.80x = 314,707.68 × 127,450.80
  4. Step 4: Simplify right side
    228,052.80x = 40,109,745,582.14
  5. Step 5: Solve for x
    x = 40,109,745,582.14/228,052.80
  6. Step 6: Final answer
    x = 175,879.21

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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.