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Finding the Fourth Proportional to 192,038.30, 288,057.45 and 157,046.30

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Solution

The fourth proportional to 192,038.30, 288,057.45 and 157,046.30 is: 235,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,038.30 : 288,057.45 = 157,046.30 : x
  2. Step 2: Convert to fraction form
    192,038.30/288,057.45 = 157,046.30/x
  3. Step 3: Cross multiply
    192,038.30x = 288,057.45 × 157,046.30
  4. Step 4: Simplify right side
    192,038.30x = 45,238,356,709.94
  5. Step 5: Solve for x
    x = 45,238,356,709.94/192,038.30
  6. Step 6: Final answer
    x = 235,569.45

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1.5x scale

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.