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Finding the Fourth Proportional to 196,507.83, 294,551.49 and 101,642.49

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Solution

The fourth proportional to 196,507.83, 294,551.49 and 101,642.49 is: 152,354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,507.83 : 294,551.49 = 101,642.49 : x
  2. Step 2: Convert to fraction form
    196,507.83/294,551.49 = 101,642.49/x
  3. Step 3: Cross multiply
    196,507.83x = 294,551.49 × 101,642.49
  4. Step 4: Simplify right side
    196,507.83x = 29,938,946,876.81
  5. Step 5: Solve for x
    x = 29,938,946,876.81/196,507.83
  6. Step 6: Final answer
    x = 152,354.98

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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.