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Finding the Fourth Proportional to 214,501.30, 296,006.14 and 117,704.86

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Solution

The fourth proportional to 214,501.30, 296,006.14 and 117,704.86 is: 162,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,501.30 : 296,006.14 = 117,704.86 : x
  2. Step 2: Convert to fraction form
    214,501.30/296,006.14 = 117,704.86/x
  3. Step 3: Cross multiply
    214,501.30x = 296,006.14 × 117,704.86
  4. Step 4: Simplify right side
    214,501.30x = 34,841,361,267.84
  5. Step 5: Solve for x
    x = 34,841,361,267.84/214,501.30
  6. Step 6: Final answer
    x = 162,429.60

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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.