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Finding the Fourth Proportional to 212,424.78, 293,146.14 and 116,931

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Solution

The fourth proportional to 212,424.78, 293,146.14 and 116,931 is: 161,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,424.78 : 293,146.14 = 116,931 : x
  2. Step 2: Convert to fraction form
    212,424.78/293,146.14 = 116,931/x
  3. Step 3: Cross multiply
    212,424.78x = 293,146.14 × 116,931
  4. Step 4: Simplify right side
    212,424.78x = 34,277,871,296.34
  5. Step 5: Solve for x
    x = 34,277,871,296.34/212,424.78
  6. Step 6: Final answer
    x = 161,364.75

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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.