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Finding the Fourth Proportional to 315,096.24, 472,506.12 and 117,966

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Solution

The fourth proportional to 315,096.24, 472,506.12 and 117,966 is: 176,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,096.24 : 472,506.12 = 117,966 : x
  2. Step 2: Convert to fraction form
    315,096.24/472,506.12 = 117,966/x
  3. Step 3: Cross multiply
    315,096.24x = 472,506.12 × 117,966
  4. Step 4: Simplify right side
    315,096.24x = 55,739,656,951.92
  5. Step 5: Solve for x
    x = 55,739,656,951.92/315,096.24
  6. Step 6: Final answer
    x = 176,897.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.