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Finding the Fourth Proportional to 253,651.41, 350,038.26 and 146,220.84

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Solution

The fourth proportional to 253,651.41, 350,038.26 and 146,220.84 is: 201,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,651.41 : 350,038.26 = 146,220.84 : x
  2. Step 2: Convert to fraction form
    253,651.41/350,038.26 = 146,220.84/x
  3. Step 3: Cross multiply
    253,651.41x = 350,038.26 × 146,220.84
  4. Step 4: Simplify right side
    253,651.41x = 51,182,888,409.34
  5. Step 5: Solve for x
    x = 51,182,888,409.34/253,651.41
  6. Step 6: Final answer
    x = 201,784.36

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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.