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Finding the Fourth Proportional to 210,051.22, 289,859.16 and 119,394.58

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Solution

The fourth proportional to 210,051.22, 289,859.16 and 119,394.58 is: 164,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,051.22 : 289,859.16 = 119,394.58 : x
  2. Step 2: Convert to fraction form
    210,051.22/289,859.16 = 119,394.58/x
  3. Step 3: Cross multiply
    210,051.22x = 289,859.16 × 119,394.58
  4. Step 4: Simplify right side
    210,051.22x = 34,607,612,667.35
  5. Step 5: Solve for x
    x = 34,607,612,667.35/210,051.22
  6. Step 6: Final answer
    x = 164,757.97

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1.5x scale

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.