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Finding the Fourth Proportional to 259,400.52, 357,969.51 and 146,223.27

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Solution

The fourth proportional to 259,400.52, 357,969.51 and 146,223.27 is: 201,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,400.52 : 357,969.51 = 146,223.27 : x
  2. Step 2: Convert to fraction form
    259,400.52/357,969.51 = 146,223.27/x
  3. Step 3: Cross multiply
    259,400.52x = 357,969.51 × 146,223.27
  4. Step 4: Simplify right side
    259,400.52x = 52,343,472,312.50
  5. Step 5: Solve for x
    x = 52,343,472,312.50/259,400.52
  6. Step 6: Final answer
    x = 201,786.30

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1.5x scale

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.