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Finding the Fourth Proportional to 210,138.19, 289,989.29 and 119,494.16

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Solution

The fourth proportional to 210,138.19, 289,989.29 and 119,494.16 is: 164,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,138.19 : 289,989.29 = 119,494.16 : x
  2. Step 2: Convert to fraction form
    210,138.19/289,989.29 = 119,494.16/x
  3. Step 3: Cross multiply
    210,138.19x = 289,989.29 × 119,494.16
  4. Step 4: Simplify right side
    210,138.19x = 34,652,026,617.55
  5. Step 5: Solve for x
    x = 34,652,026,617.55/210,138.19
  6. Step 6: Final answer
    x = 164,901.14

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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.