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Finding the Fourth Proportional to 157,057.40, 235,586.10 and 154,465.40

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Solution

The fourth proportional to 157,057.40, 235,586.10 and 154,465.40 is: 231,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,057.40 : 235,586.10 = 154,465.40 : x
  2. Step 2: Convert to fraction form
    157,057.40/235,586.10 = 154,465.40/x
  3. Step 3: Cross multiply
    157,057.40x = 235,586.10 × 154,465.40
  4. Step 4: Simplify right side
    157,057.40x = 36,389,901,170.94
  5. Step 5: Solve for x
    x = 36,389,901,170.94/157,057.40
  6. Step 6: Final answer
    x = 231,698.10

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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.