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Finding the Fourth Proportional to 189,407.78, 282,559.25 and 184,259.42

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Solution

The fourth proportional to 189,407.78, 282,559.25 and 184,259.42 is: 274,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,407.78 : 282,559.25 = 184,259.42 : x
  2. Step 2: Convert to fraction form
    189,407.78/282,559.25 = 184,259.42/x
  3. Step 3: Cross multiply
    189,407.78x = 282,559.25 × 184,259.42
  4. Step 4: Simplify right side
    189,407.78x = 52,064,203,520.64
  5. Step 5: Solve for x
    x = 52,064,203,520.64/189,407.78
  6. Step 6: Final answer
    x = 274,878.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.