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Finding the Fourth Proportional to 200,206.84, 276,316.52 and 114,166.01

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Solution

The fourth proportional to 200,206.84, 276,316.52 and 114,166.01 is: 157,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,206.84 : 276,316.52 = 114,166.01 : x
  2. Step 2: Convert to fraction form
    200,206.84/276,316.52 = 114,166.01/x
  3. Step 3: Cross multiply
    200,206.84x = 276,316.52 × 114,166.01
  4. Step 4: Simplify right side
    200,206.84x = 31,545,953,151.17
  5. Step 5: Solve for x
    x = 31,545,953,151.17/200,206.84
  6. Step 6: Final answer
    x = 157,566.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.