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Finding the Fourth Proportional to 296,894.12, 445,230.66 and 119,341.40

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Solution

The fourth proportional to 296,894.12, 445,230.66 and 119,341.40 is: 178,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894.12 : 445,230.66 = 119,341.40 : x
  2. Step 2: Convert to fraction form
    296,894.12/445,230.66 = 119,341.40/x
  3. Step 3: Cross multiply
    296,894.12x = 445,230.66 × 119,341.40
  4. Step 4: Simplify right side
    296,894.12x = 53,134,450,287.32
  5. Step 5: Solve for x
    x = 53,134,450,287.32/296,894.12
  6. Step 6: Final answer
    x = 178,967.67

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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.