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Finding the Fourth Proportional to 212,756.78, 293,602.82 and 117,263.58

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Solution

The fourth proportional to 212,756.78, 293,602.82 and 117,263.58 is: 161,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,756.78 : 293,602.82 = 117,263.58 : x
  2. Step 2: Convert to fraction form
    212,756.78/293,602.82 = 117,263.58/x
  3. Step 3: Cross multiply
    212,756.78x = 293,602.82 × 117,263.58
  4. Step 4: Simplify right side
    212,756.78x = 34,428,917,771.30
  5. Step 5: Solve for x
    x = 34,428,917,771.30/212,756.78
  6. Step 6: Final answer
    x = 161,822.89

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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.