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Finding the Fourth Proportional to 212,465.14, 293,135.70 and 120,569.20

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Solution

The fourth proportional to 212,465.14, 293,135.70 and 120,569.20 is: 166,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,465.14 : 293,135.70 = 120,569.20 : x
  2. Step 2: Convert to fraction form
    212,465.14/293,135.70 = 120,569.20/x
  3. Step 3: Cross multiply
    212,465.14x = 293,135.70 × 120,569.20
  4. Step 4: Simplify right side
    212,465.14x = 35,343,136,840.44
  5. Step 5: Solve for x
    x = 35,343,136,840.44/212,465.14
  6. Step 6: Final answer
    x = 166,347.93

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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.