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Finding the Fourth Proportional to 193,041.96, 289,242.90 and 136,602.42

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Solution

The fourth proportional to 193,041.96, 289,242.90 and 136,602.42 is: 204,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,041.96 : 289,242.90 = 136,602.42 : x
  2. Step 2: Convert to fraction form
    193,041.96/289,242.90 = 136,602.42/x
  3. Step 3: Cross multiply
    193,041.96x = 289,242.90 × 136,602.42
  4. Step 4: Simplify right side
    193,041.96x = 39,511,280,107.82
  5. Step 5: Solve for x
    x = 39,511,280,107.82/193,041.96
  6. Step 6: Final answer
    x = 204,677.16

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1.5x scale

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.