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Finding the Fourth Proportional to 189,192.10, 283,779.93 and 47,034.40

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Solution

The fourth proportional to 189,192.10, 283,779.93 and 47,034.40 is: 70,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,192.10 : 283,779.93 = 47,034.40 : x
  2. Step 2: Convert to fraction form
    189,192.10/283,779.93 = 47,034.40/x
  3. Step 3: Cross multiply
    189,192.10x = 283,779.93 × 47,034.40
  4. Step 4: Simplify right side
    189,192.10x = 13,347,418,739.59
  5. Step 5: Solve for x
    x = 13,347,418,739.59/189,192.10
  6. Step 6: Final answer
    x = 70,549.56

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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.