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Finding the Fourth Proportional to 201,569.92, 302,133.76 and 83,180.16

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Solution

The fourth proportional to 201,569.92, 302,133.76 and 83,180.16 is: 124,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,569.92 : 302,133.76 = 83,180.16 : x
  2. Step 2: Convert to fraction form
    201,569.92/302,133.76 = 83,180.16/x
  3. Step 3: Cross multiply
    201,569.92x = 302,133.76 × 83,180.16
  4. Step 4: Simplify right side
    201,569.92x = 25,131,534,498.20
  5. Step 5: Solve for x
    x = 25,131,534,498.20/201,569.92
  6. Step 6: Final answer
    x = 124,678.99

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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.