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Finding the Fourth Proportional to 214,496.16, 296,012.61 and 129,596.82

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Solution

The fourth proportional to 214,496.16, 296,012.61 and 129,596.82 is: 178,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,496.16 : 296,012.61 = 129,596.82 : x
  2. Step 2: Convert to fraction form
    214,496.16/296,012.61 = 129,596.82/x
  3. Step 3: Cross multiply
    214,496.16x = 296,012.61 × 129,596.82
  4. Step 4: Simplify right side
    214,496.16x = 38,362,292,935.90
  5. Step 5: Solve for x
    x = 38,362,292,935.90/214,496.16
  6. Step 6: Final answer
    x = 178,848.39

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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.