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Finding the Fourth Proportional to 189,883.15, 284,575.56 and 139,728.40

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Solution

The fourth proportional to 189,883.15, 284,575.56 and 139,728.40 is: 209,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,883.15 : 284,575.56 = 139,728.40 : x
  2. Step 2: Convert to fraction form
    189,883.15/284,575.56 = 139,728.40/x
  3. Step 3: Cross multiply
    189,883.15x = 284,575.56 × 139,728.40
  4. Step 4: Simplify right side
    189,883.15x = 39,763,287,677.90
  5. Step 5: Solve for x
    x = 39,763,287,677.90/189,883.15
  6. Step 6: Final answer
    x = 209,409.25

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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.