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Finding the Fourth Proportional to 233,095.60, 349,816.20 and 154,183.60

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Solution

The fourth proportional to 233,095.60, 349,816.20 and 154,183.60 is: 231,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,095.60 : 349,816.20 = 154,183.60 : x
  2. Step 2: Convert to fraction form
    233,095.60/349,816.20 = 154,183.60/x
  3. Step 3: Cross multiply
    233,095.60x = 349,816.20 × 154,183.60
  4. Step 4: Simplify right side
    233,095.60x = 53,935,921,054.32
  5. Step 5: Solve for x
    x = 53,935,921,054.32/233,095.60
  6. Step 6: Final answer
    x = 231,389.70

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Why These Related Problems?

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