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Finding the Fourth Proportional to 214,494.96, 296,038.40 and 119,032.44

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Solution

The fourth proportional to 214,494.96, 296,038.40 and 119,032.44 is: 164,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,494.96 : 296,038.40 = 119,032.44 : x
  2. Step 2: Convert to fraction form
    214,494.96/296,038.40 = 119,032.44/x
  3. Step 3: Cross multiply
    214,494.96x = 296,038.40 × 119,032.44
  4. Step 4: Simplify right side
    214,494.96x = 35,238,173,085.70
  5. Step 5: Solve for x
    x = 35,238,173,085.70/214,494.96
  6. Step 6: Final answer
    x = 164,284.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.