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Finding the Fourth Proportional to 210,330.82, 290,262.94 and 119,699.82

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Solution

The fourth proportional to 210,330.82, 290,262.94 and 119,699.82 is: 165,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,330.82 : 290,262.94 = 119,699.82 : x
  2. Step 2: Convert to fraction form
    210,330.82/290,262.94 = 119,699.82/x
  3. Step 3: Cross multiply
    210,330.82x = 290,262.94 × 119,699.82
  4. Step 4: Simplify right side
    210,330.82x = 34,744,421,670.67
  5. Step 5: Solve for x
    x = 34,744,421,670.67/210,330.82
  6. Step 6: Final answer
    x = 165,189.40

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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.