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Finding the Fourth Proportional to 122,779.84, 184,133.40 and 52,642.48

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Solution

The fourth proportional to 122,779.84, 184,133.40 and 52,642.48 is: 78,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,779.84 : 184,133.40 = 52,642.48 : x
  2. Step 2: Convert to fraction form
    122,779.84/184,133.40 = 52,642.48/x
  3. Step 3: Cross multiply
    122,779.84x = 184,133.40 × 52,642.48
  4. Step 4: Simplify right side
    122,779.84x = 9,693,238,826.83
  5. Step 5: Solve for x
    x = 9,693,238,826.83/122,779.84
  6. Step 6: Final answer
    x = 78,948.13

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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.