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Finding the Fourth Proportional to 133,314.60, 199,971.90 and 112,319.40

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Solution

The fourth proportional to 133,314.60, 199,971.90 and 112,319.40 is: 168,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,314.60 : 199,971.90 = 112,319.40 : x
  2. Step 2: Convert to fraction form
    133,314.60/199,971.90 = 112,319.40/x
  3. Step 3: Cross multiply
    133,314.60x = 199,971.90 × 112,319.40
  4. Step 4: Simplify right side
    133,314.60x = 22,460,723,824.86
  5. Step 5: Solve for x
    x = 22,460,723,824.86/133,314.60
  6. Step 6: Final answer
    x = 168,479.10

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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.