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Finding the Fourth Proportional to 201,680.96, 302,472.23 and 83,386.13

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Solution

The fourth proportional to 201,680.96, 302,472.23 and 83,386.13 is: 125,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,680.96 : 302,472.23 = 83,386.13 : x
  2. Step 2: Convert to fraction form
    201,680.96/302,472.23 = 83,386.13/x
  3. Step 3: Cross multiply
    201,680.96x = 302,472.23 × 83,386.13
  4. Step 4: Simplify right side
    201,680.96x = 25,221,986,762.88
  5. Step 5: Solve for x
    x = 25,221,986,762.88/201,680.96
  6. Step 6: Final answer
    x = 125,058.84

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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.