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Finding the Fourth Proportional to 228,307.44, 315,047.16 and 127,686

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Solution

The fourth proportional to 228,307.44, 315,047.16 and 127,686 is: 176,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,307.44 : 315,047.16 = 127,686 : x
  2. Step 2: Convert to fraction form
    228,307.44/315,047.16 = 127,686/x
  3. Step 3: Cross multiply
    228,307.44x = 315,047.16 × 127,686
  4. Step 4: Simplify right side
    228,307.44x = 40,227,111,671.76
  5. Step 5: Solve for x
    x = 40,227,111,671.76/228,307.44
  6. Step 6: Final answer
    x = 176,197.11

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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.