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Finding the Fourth Proportional to 122,655.74, 184,041.65 and 51,593.96

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Solution

The fourth proportional to 122,655.74, 184,041.65 and 51,593.96 is: 77,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,655.74 : 184,041.65 = 51,593.96 : x
  2. Step 2: Convert to fraction form
    122,655.74/184,041.65 = 51,593.96/x
  3. Step 3: Cross multiply
    122,655.74x = 184,041.65 × 51,593.96
  4. Step 4: Simplify right side
    122,655.74x = 9,495,438,117.52
  5. Step 5: Solve for x
    x = 9,495,438,117.52/122,655.74
  6. Step 6: Final answer
    x = 77,415.36

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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.