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Finding the Fourth Proportional to 197,468.93, 272,506.32 and 106,824.69

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Solution

The fourth proportional to 197,468.93, 272,506.32 and 106,824.69 is: 147,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,468.93 : 272,506.32 = 106,824.69 : x
  2. Step 2: Convert to fraction form
    197,468.93/272,506.32 = 106,824.69/x
  3. Step 3: Cross multiply
    197,468.93x = 272,506.32 × 106,824.69
  4. Step 4: Simplify right side
    197,468.93x = 29,110,403,157.04
  5. Step 5: Solve for x
    x = 29,110,403,157.04/197,468.93
  6. Step 6: Final answer
    x = 147,417.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.