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Finding the Fourth Proportional to 200,423, 276,599.46 and 114,362.12

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Solution

The fourth proportional to 200,423, 276,599.46 and 114,362.12 is: 157,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,423 : 276,599.46 = 114,362.12 : x
  2. Step 2: Convert to fraction form
    200,423/276,599.46 = 114,362.12/x
  3. Step 3: Cross multiply
    200,423x = 276,599.46 × 114,362.12
  4. Step 4: Simplify right side
    200,423x = 31,632,500,636.46
  5. Step 5: Solve for x
    x = 31,632,500,636.46/200,423
  6. Step 6: Final answer
    x = 157,828.70

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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.