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Finding the Fourth Proportional to 201,342.75, 302,014.13 and 53,598.75

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Solution

The fourth proportional to 201,342.75, 302,014.13 and 53,598.75 is: 80,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,342.75 : 302,014.13 = 53,598.75 : x
  2. Step 2: Convert to fraction form
    201,342.75/302,014.13 = 53,598.75/x
  3. Step 3: Cross multiply
    201,342.75x = 302,014.13 × 53,598.75
  4. Step 4: Simplify right side
    201,342.75x = 16,187,579,582.34
  5. Step 5: Solve for x
    x = 16,187,579,582.34/201,342.75
  6. Step 6: Final answer
    x = 80,398.13

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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.