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Finding the Fourth Proportional to 233,673.15, 350,509.75 and 133,762.97

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Solution

The fourth proportional to 233,673.15, 350,509.75 and 133,762.97 is: 200,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,673.15 : 350,509.75 = 133,762.97 : x
  2. Step 2: Convert to fraction form
    233,673.15/350,509.75 = 133,762.97/x
  3. Step 3: Cross multiply
    233,673.15x = 350,509.75 × 133,762.97
  4. Step 4: Simplify right side
    233,673.15x = 46,885,224,730.02
  5. Step 5: Solve for x
    x = 46,885,224,730.02/233,673.15
  6. Step 6: Final answer
    x = 200,644.46

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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.