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Finding the Fourth Proportional to 193,646.76, 290,499.66 and 98,825.24

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Solution

The fourth proportional to 193,646.76, 290,499.66 and 98,825.24 is: 148,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,646.76 : 290,499.66 = 98,825.24 : x
  2. Step 2: Convert to fraction form
    193,646.76/290,499.66 = 98,825.24/x
  3. Step 3: Cross multiply
    193,646.76x = 290,499.66 × 98,825.24
  4. Step 4: Simplify right side
    193,646.76x = 28,708,698,619.42
  5. Step 5: Solve for x
    x = 28,708,698,619.42/193,646.76
  6. Step 6: Final answer
    x = 148,252.93

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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.