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Finding the Fourth Proportional to 197,184.63, 295,776.72 and 47,424.81

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Solution

The fourth proportional to 197,184.63, 295,776.72 and 47,424.81 is: 71,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,184.63 : 295,776.72 = 47,424.81 : x
  2. Step 2: Convert to fraction form
    197,184.63/295,776.72 = 47,424.81/x
  3. Step 3: Cross multiply
    197,184.63x = 295,776.72 × 47,424.81
  4. Step 4: Simplify right side
    197,184.63x = 14,027,154,748.42
  5. Step 5: Solve for x
    x = 14,027,154,748.42/197,184.63
  6. Step 6: Final answer
    x = 71,137.16

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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.