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Finding the Fourth Proportional to 214,618.08, 296,159 and 119,124.80

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Solution

The fourth proportional to 214,618.08, 296,159 and 119,124.80 is: 164,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,618.08 : 296,159 = 119,124.80 : x
  2. Step 2: Convert to fraction form
    214,618.08/296,159 = 119,124.80/x
  3. Step 3: Cross multiply
    214,618.08x = 296,159 × 119,124.80
  4. Step 4: Simplify right side
    214,618.08x = 35,279,881,643.20
  5. Step 5: Solve for x
    x = 35,279,881,643.20/214,618.08
  6. Step 6: Final answer
    x = 164,384.48

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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.