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Finding the Fourth Proportional to 214,768.95, 296,248.64 and 138,262.83

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Solution

The fourth proportional to 214,768.95, 296,248.64 and 138,262.83 is: 190,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768.95 : 296,248.64 = 138,262.83 : x
  2. Step 2: Convert to fraction form
    214,768.95/296,248.64 = 138,262.83/x
  3. Step 3: Cross multiply
    214,768.95x = 296,248.64 × 138,262.83
  4. Step 4: Simplify right side
    214,768.95x = 40,960,174,658.74
  5. Step 5: Solve for x
    x = 40,960,174,658.74/214,768.95
  6. Step 6: Final answer
    x = 190,717.39

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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.