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Finding the Fourth Proportional to 214,534.02, 296,056.92 and 119,056.08

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Solution

The fourth proportional to 214,534.02, 296,056.92 and 119,056.08 is: 164,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,534.02 : 296,056.92 = 119,056.08 : x
  2. Step 2: Convert to fraction form
    214,534.02/296,056.92 = 119,056.08/x
  3. Step 3: Cross multiply
    214,534.02x = 296,056.92 × 119,056.08
  4. Step 4: Simplify right side
    214,534.02x = 35,247,376,352.07
  5. Step 5: Solve for x
    x = 35,247,376,352.07/214,534.02
  6. Step 6: Final answer
    x = 164,297.38

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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.