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Finding the Fourth Proportional to 204,440.99, 282,128.51 and 113,795.01

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Solution

The fourth proportional to 204,440.99, 282,128.51 and 113,795.01 is: 157,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,440.99 : 282,128.51 = 113,795.01 : x
  2. Step 2: Convert to fraction form
    204,440.99/282,128.51 = 113,795.01/x
  3. Step 3: Cross multiply
    204,440.99x = 282,128.51 × 113,795.01
  4. Step 4: Simplify right side
    204,440.99x = 32,104,816,047.76
  5. Step 5: Solve for x
    x = 32,104,816,047.76/204,440.99
  6. Step 6: Final answer
    x = 157,037.08

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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.