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Finding the Fourth Proportional to 228,052.52, 314,712.96 and 127,450.52

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Solution

The fourth proportional to 228,052.52, 314,712.96 and 127,450.52 is: 175,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,052.52 : 314,712.96 = 127,450.52 : x
  2. Step 2: Convert to fraction form
    228,052.52/314,712.96 = 127,450.52/x
  3. Step 3: Cross multiply
    228,052.52x = 314,712.96 × 127,450.52
  4. Step 4: Simplify right side
    228,052.52x = 40,110,330,402.74
  5. Step 5: Solve for x
    x = 40,110,330,402.74/228,052.52
  6. Step 6: Final answer
    x = 175,881.99

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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.