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Finding the Fourth Proportional to 228,047.68, 314,735.52 and 127,466.56

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Solution

The fourth proportional to 228,047.68, 314,735.52 and 127,466.56 is: 175,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,047.68 : 314,735.52 = 127,466.56 : x
  2. Step 2: Convert to fraction form
    228,047.68/314,735.52 = 127,466.56/x
  3. Step 3: Cross multiply
    228,047.68x = 314,735.52 × 127,466.56
  4. Step 4: Simplify right side
    228,047.68x = 40,118,254,044.21
  5. Step 5: Solve for x
    x = 40,118,254,044.21/228,047.68
  6. Step 6: Final answer
    x = 175,920.47

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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.