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Finding the Fourth Proportional to 228,259.24, 314,997.54 and 127,657

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Solution

The fourth proportional to 228,259.24, 314,997.54 and 127,657 is: 176,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,259.24 : 314,997.54 = 127,657 : x
  2. Step 2: Convert to fraction form
    228,259.24/314,997.54 = 127,657/x
  3. Step 3: Cross multiply
    228,259.24x = 314,997.54 × 127,657
  4. Step 4: Simplify right side
    228,259.24x = 40,211,640,963.78
  5. Step 5: Solve for x
    x = 40,211,640,963.78/228,259.24
  6. Step 6: Final answer
    x = 176,166.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.