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Finding the Fourth Proportional to 214,590.72, 296,153.82 and 119,115.84

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Solution

The fourth proportional to 214,590.72, 296,153.82 and 119,115.84 is: 164,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,590.72 : 296,153.82 = 119,115.84 : x
  2. Step 2: Convert to fraction form
    214,590.72/296,153.82 = 119,115.84/x
  3. Step 3: Cross multiply
    214,590.72x = 296,153.82 × 119,115.84
  4. Step 4: Simplify right side
    214,590.72x = 35,276,611,038.51
  5. Step 5: Solve for x
    x = 35,276,611,038.51/214,590.72
  6. Step 6: Final answer
    x = 164,390.20

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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.