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Finding the Fourth Proportional to 150,270.07, 206,954.54 and 116,152.87

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Solution

The fourth proportional to 150,270.07, 206,954.54 and 116,152.87 is: 159,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270.07 : 206,954.54 = 116,152.87 : x
  2. Step 2: Convert to fraction form
    150,270.07/206,954.54 = 116,152.87/x
  3. Step 3: Cross multiply
    150,270.07x = 206,954.54 × 116,152.87
  4. Step 4: Simplify right side
    150,270.07x = 24,038,362,682.38
  5. Step 5: Solve for x
    x = 24,038,362,682.38/150,270.07
  6. Step 6: Final answer
    x = 159,967.74

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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.