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Finding the Fourth Proportional to 197,650.65, 296,369.35 and 102,646.46

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Solution

The fourth proportional to 197,650.65, 296,369.35 and 102,646.46 is: 153,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,650.65 : 296,369.35 = 102,646.46 : x
  2. Step 2: Convert to fraction form
    197,650.65/296,369.35 = 102,646.46/x
  3. Step 3: Cross multiply
    197,650.65x = 296,369.35 × 102,646.46
  4. Step 4: Simplify right side
    197,650.65x = 30,421,265,114.31
  5. Step 5: Solve for x
    x = 30,421,265,114.31/197,650.65
  6. Step 6: Final answer
    x = 153,914.32

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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.