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Finding the Fourth Proportional to 212,772.69, 293,603.13 and 117,261

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Solution

The fourth proportional to 212,772.69, 293,603.13 and 117,261 is: 161,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,772.69 : 293,603.13 = 117,261 : x
  2. Step 2: Convert to fraction form
    212,772.69/293,603.13 = 117,261/x
  3. Step 3: Cross multiply
    212,772.69x = 293,603.13 × 117,261
  4. Step 4: Simplify right side
    212,772.69x = 34,428,196,626.93
  5. Step 5: Solve for x
    x = 34,428,196,626.93/212,772.69
  6. Step 6: Final answer
    x = 161,807.40

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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.