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Finding the Fourth Proportional to 210,814.64, 290,931.09 and 120,168.95

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Solution

The fourth proportional to 210,814.64, 290,931.09 and 120,168.95 is: 165,837.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,814.64 : 290,931.09 = 120,168.95 : x
  2. Step 2: Convert to fraction form
    210,814.64/290,931.09 = 120,168.95/x
  3. Step 3: Cross multiply
    210,814.64x = 290,931.09 × 120,168.95
  4. Step 4: Simplify right side
    210,814.64x = 34,960,882,153.00
  5. Step 5: Solve for x
    x = 34,960,882,153.00/210,814.64
  6. Step 6: Final answer
    x = 165,837.07

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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.