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Finding the Fourth Proportional to 189,779.46, 284,664.63 and 61,695.58

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Solution

The fourth proportional to 189,779.46, 284,664.63 and 61,695.58 is: 92,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,779.46 : 284,664.63 = 61,695.58 : x
  2. Step 2: Convert to fraction form
    189,779.46/284,664.63 = 61,695.58/x
  3. Step 3: Cross multiply
    189,779.46x = 284,664.63 × 61,695.58
  4. Step 4: Simplify right side
    189,779.46x = 17,562,548,973.03
  5. Step 5: Solve for x
    x = 17,562,548,973.03/189,779.46
  6. Step 6: Final answer
    x = 92,541.89

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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.