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Finding the Fourth Proportional to 212,402.34, 293,114.16 and 116,907.12

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Solution

The fourth proportional to 212,402.34, 293,114.16 and 116,907.12 is: 161,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,402.34 : 293,114.16 = 116,907.12 : x
  2. Step 2: Convert to fraction form
    212,402.34/293,114.16 = 116,907.12/x
  3. Step 3: Cross multiply
    212,402.34x = 293,114.16 × 116,907.12
  4. Step 4: Simplify right side
    212,402.34x = 34,267,132,276.82
  5. Step 5: Solve for x
    x = 34,267,132,276.82/212,402.34
  6. Step 6: Final answer
    x = 161,331.24

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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.