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Finding the Fourth Proportional to 200,746.84, 301,024.94 and 116,532.84

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Solution

The fourth proportional to 200,746.84, 301,024.94 and 116,532.84 is: 174,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746.84 : 301,024.94 = 116,532.84 : x
  2. Step 2: Convert to fraction form
    200,746.84/301,024.94 = 116,532.84/x
  3. Step 3: Cross multiply
    200,746.84x = 301,024.94 × 116,532.84
  4. Step 4: Simplify right side
    200,746.84x = 35,079,291,169.03
  5. Step 5: Solve for x
    x = 35,079,291,169.03/200,746.84
  6. Step 6: Final answer
    x = 174,743.93

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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.