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Finding the Fourth Proportional to 210,311.16, 290,225.52 and 119,665.14

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Solution

The fourth proportional to 210,311.16, 290,225.52 and 119,665.14 is: 165,135.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,311.16 : 290,225.52 = 119,665.14 : x
  2. Step 2: Convert to fraction form
    210,311.16/290,225.52 = 119,665.14/x
  3. Step 3: Cross multiply
    210,311.16x = 290,225.52 × 119,665.14
  4. Step 4: Simplify right side
    210,311.16x = 34,729,877,482.37
  5. Step 5: Solve for x
    x = 34,729,877,482.37/210,311.16
  6. Step 6: Final answer
    x = 165,135.69

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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.