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Finding the Fourth Proportional to 253,647.74, 350,037.51 and 146,215.82

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Solution

The fourth proportional to 253,647.74, 350,037.51 and 146,215.82 is: 201,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,647.74 : 350,037.51 = 146,215.82 : x
  2. Step 2: Convert to fraction form
    253,647.74/350,037.51 = 146,215.82/x
  3. Step 3: Cross multiply
    253,647.74x = 350,037.51 × 146,215.82
  4. Step 4: Simplify right side
    253,647.74x = 51,181,021,555.41
  5. Step 5: Solve for x
    x = 51,181,021,555.41/253,647.74
  6. Step 6: Final answer
    x = 201,779.92

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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.