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Finding the Fourth Proportional to 200,530.91, 276,706.29 and 119,929.01

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Solution

The fourth proportional to 200,530.91, 276,706.29 and 119,929.01 is: 165,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530.91 : 276,706.29 = 119,929.01 : x
  2. Step 2: Convert to fraction form
    200,530.91/276,706.29 = 119,929.01/x
  3. Step 3: Cross multiply
    200,530.91x = 276,706.29 × 119,929.01
  4. Step 4: Simplify right side
    200,530.91x = 33,185,111,420.47
  5. Step 5: Solve for x
    x = 33,185,111,420.47/200,530.91
  6. Step 6: Final answer
    x = 165,486.27

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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.