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Finding the Fourth Proportional to 200,444.90, 276,618.43 and 114,402.16

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Solution

The fourth proportional to 200,444.90, 276,618.43 and 114,402.16 is: 157,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,444.90 : 276,618.43 = 114,402.16 : x
  2. Step 2: Convert to fraction form
    200,444.90/276,618.43 = 114,402.16/x
  3. Step 3: Cross multiply
    200,444.90x = 276,618.43 × 114,402.16
  4. Step 4: Simplify right side
    200,444.90x = 31,645,745,887.81
  5. Step 5: Solve for x
    x = 31,645,745,887.81/200,444.90
  6. Step 6: Final answer
    x = 157,877.53

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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.