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Finding the Fourth Proportional to 254,057, 350,573.46 and 146,661.68

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Solution

The fourth proportional to 254,057, 350,573.46 and 146,661.68 is: 202,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,057 : 350,573.46 = 146,661.68 : x
  2. Step 2: Convert to fraction form
    254,057/350,573.46 = 146,661.68/x
  3. Step 3: Cross multiply
    254,057x = 350,573.46 × 146,661.68
  4. Step 4: Simplify right side
    254,057x = 51,415,692,607.01
  5. Step 5: Solve for x
    x = 51,415,692,607.01/254,057
  6. Step 6: Final answer
    x = 202,378.57

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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.