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Finding the Fourth Proportional to 212,782.16, 293,639.30 and 117,290.45

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Solution

The fourth proportional to 212,782.16, 293,639.30 and 117,290.45 is: 161,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,782.16 : 293,639.30 = 117,290.45 : x
  2. Step 2: Convert to fraction form
    212,782.16/293,639.30 = 117,290.45/x
  3. Step 3: Cross multiply
    212,782.16x = 293,639.30 × 117,290.45
  4. Step 4: Simplify right side
    212,782.16x = 34,441,084,166.49
  5. Step 5: Solve for x
    x = 34,441,084,166.49/212,782.16
  6. Step 6: Final answer
    x = 161,860.77

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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.