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Finding the Fourth Proportional to 204,937, 282,812.52 and 114,293.08

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Solution

The fourth proportional to 204,937, 282,812.52 and 114,293.08 is: 157,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,937 : 282,812.52 = 114,293.08 : x
  2. Step 2: Convert to fraction form
    204,937/282,812.52 = 114,293.08/x
  3. Step 3: Cross multiply
    204,937x = 282,812.52 × 114,293.08
  4. Step 4: Simplify right side
    204,937x = 32,323,513,973.36
  5. Step 5: Solve for x
    x = 32,323,513,973.36/204,937
  6. Step 6: Final answer
    x = 157,724.15

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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.