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Finding the Fourth Proportional to 193,315.60, 289,973.40 and 137,328.40

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Solution

The fourth proportional to 193,315.60, 289,973.40 and 137,328.40 is: 205,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,315.60 : 289,973.40 = 137,328.40 : x
  2. Step 2: Convert to fraction form
    193,315.60/289,973.40 = 137,328.40/x
  3. Step 3: Cross multiply
    193,315.60x = 289,973.40 × 137,328.40
  4. Step 4: Simplify right side
    193,315.60x = 39,821,583,064.56
  5. Step 5: Solve for x
    x = 39,821,583,064.56/193,315.60
  6. Step 6: Final answer
    x = 205,992.60

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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.