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Finding the Fourth Proportional to 194,666.96, 292,030.68 and 82,347.44

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Solution

The fourth proportional to 194,666.96, 292,030.68 and 82,347.44 is: 123,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,666.96 : 292,030.68 = 82,347.44 : x
  2. Step 2: Convert to fraction form
    194,666.96/292,030.68 = 82,347.44/x
  3. Step 3: Cross multiply
    194,666.96x = 292,030.68 × 82,347.44
  4. Step 4: Simplify right side
    194,666.96x = 24,047,978,899.46
  5. Step 5: Solve for x
    x = 24,047,978,899.46/194,666.96
  6. Step 6: Final answer
    x = 123,533.95

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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.