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Finding the Fourth Proportional to 212,745.47, 293,588.12 and 117,252.14

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Solution

The fourth proportional to 212,745.47, 293,588.12 and 117,252.14 is: 161,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,745.47 : 293,588.12 = 117,252.14 : x
  2. Step 2: Convert to fraction form
    212,745.47/293,588.12 = 117,252.14/x
  3. Step 3: Cross multiply
    212,745.47x = 293,588.12 × 117,252.14
  4. Step 4: Simplify right side
    212,745.47x = 34,423,833,294.38
  5. Step 5: Solve for x
    x = 34,423,833,294.38/212,745.47
  6. Step 6: Final answer
    x = 161,807.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.