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Finding the Fourth Proportional to 201,726.75, 302,777.10 and 101,957.16

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Solution

The fourth proportional to 201,726.75, 302,777.10 and 101,957.16 is: 153,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726.75 : 302,777.10 = 101,957.16 : x
  2. Step 2: Convert to fraction form
    201,726.75/302,777.10 = 101,957.16/x
  3. Step 3: Cross multiply
    201,726.75x = 302,777.10 × 101,957.16
  4. Step 4: Simplify right side
    201,726.75x = 30,870,293,229.04
  5. Step 5: Solve for x
    x = 30,870,293,229.04/201,726.75
  6. Step 6: Final answer
    x = 153,030.24

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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.