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Finding the Fourth Proportional to 196,011.96, 293,784.66 and 112,731

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Solution

The fourth proportional to 196,011.96, 293,784.66 and 112,731 is: 168,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,011.96 : 293,784.66 = 112,731 : x
  2. Step 2: Convert to fraction form
    196,011.96/293,784.66 = 112,731/x
  3. Step 3: Cross multiply
    196,011.96x = 293,784.66 × 112,731
  4. Step 4: Simplify right side
    196,011.96x = 33,118,638,506.46
  5. Step 5: Solve for x
    x = 33,118,638,506.46/196,011.96
  6. Step 6: Final answer
    x = 168,962.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.