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Finding the Fourth Proportional to 196,854.34, 295,320.40 and 72,196.42

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Solution

The fourth proportional to 196,854.34, 295,320.40 and 72,196.42 is: 108,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,854.34 : 295,320.40 = 72,196.42 : x
  2. Step 2: Convert to fraction form
    196,854.34/295,320.40 = 72,196.42/x
  3. Step 3: Cross multiply
    196,854.34x = 295,320.40 × 72,196.42
  4. Step 4: Simplify right side
    196,854.34x = 21,321,075,632.97
  5. Step 5: Solve for x
    x = 21,321,075,632.97/196,854.34
  6. Step 6: Final answer
    x = 108,308.89

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