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Finding the Fourth Proportional to 212,281.84, 292,948.94 and 116,786.50

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Solution

The fourth proportional to 212,281.84, 292,948.94 and 116,786.50 is: 161,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,281.84 : 292,948.94 = 116,786.50 : x
  2. Step 2: Convert to fraction form
    212,281.84/292,948.94 = 116,786.50/x
  3. Step 3: Cross multiply
    212,281.84x = 292,948.94 × 116,786.50
  4. Step 4: Simplify right side
    212,281.84x = 34,212,481,381.31
  5. Step 5: Solve for x
    x = 34,212,481,381.31/212,281.84
  6. Step 6: Final answer
    x = 161,165.37

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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.