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Finding the Fourth Proportional to 200,706.84, 276,973.16 and 115,822.08

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Solution

The fourth proportional to 200,706.84, 276,973.16 and 115,822.08 is: 159,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,706.84 : 276,973.16 = 115,822.08 : x
  2. Step 2: Convert to fraction form
    200,706.84/276,973.16 = 115,822.08/x
  3. Step 3: Cross multiply
    200,706.84x = 276,973.16 × 115,822.08
  4. Step 4: Simplify right side
    200,706.84x = 32,079,607,495.37
  5. Step 5: Solve for x
    x = 32,079,607,495.37/200,706.84
  6. Step 6: Final answer
    x = 159,833.16

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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.