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Finding the Fourth Proportional to 214,703.77, 296,285.56 and 119,208.01

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Solution

The fourth proportional to 214,703.77, 296,285.56 and 119,208.01 is: 164,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,703.77 : 296,285.56 = 119,208.01 : x
  2. Step 2: Convert to fraction form
    214,703.77/296,285.56 = 119,208.01/x
  3. Step 3: Cross multiply
    214,703.77x = 296,285.56 × 119,208.01
  4. Step 4: Simplify right side
    214,703.77x = 35,319,611,999.34
  5. Step 5: Solve for x
    x = 35,319,611,999.34/214,703.77
  6. Step 6: Final answer
    x = 164,503.92

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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.