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Finding the Fourth Proportional to 197,412, 296,074.24 and 79,051.56

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Solution

The fourth proportional to 197,412, 296,074.24 and 79,051.56 is: 118,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,412 : 296,074.24 = 79,051.56 : x
  2. Step 2: Convert to fraction form
    197,412/296,074.24 = 79,051.56/x
  3. Step 3: Cross multiply
    197,412x = 296,074.24 × 79,051.56
  4. Step 4: Simplify right side
    197,412x = 23,405,130,547.81
  5. Step 5: Solve for x
    x = 23,405,130,547.81/197,412
  6. Step 6: Final answer
    x = 118,559.82

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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.