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Finding the Fourth Proportional to 196,272.40, 294,106.20 and 146,117.20

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Solution

The fourth proportional to 196,272.40, 294,106.20 and 146,117.20 is: 218,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,272.40 : 294,106.20 = 146,117.20 : x
  2. Step 2: Convert to fraction form
    196,272.40/294,106.20 = 146,117.20/x
  3. Step 3: Cross multiply
    196,272.40x = 294,106.20 × 146,117.20
  4. Step 4: Simplify right side
    196,272.40x = 42,973,974,446.64
  5. Step 5: Solve for x
    x = 42,973,974,446.64/196,272.40
  6. Step 6: Final answer
    x = 218,950.67

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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.