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Finding the Fourth Proportional to 212,461.14, 293,130.18 and 120,565.20

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Solution

The fourth proportional to 212,461.14, 293,130.18 and 120,565.20 is: 166,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,461.14 : 293,130.18 = 120,565.20 : x
  2. Step 2: Convert to fraction form
    212,461.14/293,130.18 = 120,565.20/x
  3. Step 3: Cross multiply
    212,461.14x = 293,130.18 × 120,565.20
  4. Step 4: Simplify right side
    212,461.14x = 35,341,298,777.74
  5. Step 5: Solve for x
    x = 35,341,298,777.74/212,461.14
  6. Step 6: Final answer
    x = 166,342.41

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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.