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Finding the Fourth Proportional to 256,134.85, 384,196.89 and 85,368.93

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Solution

The fourth proportional to 256,134.85, 384,196.89 and 85,368.93 is: 128,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,134.85 : 384,196.89 = 85,368.93 : x
  2. Step 2: Convert to fraction form
    256,134.85/384,196.89 = 85,368.93/x
  3. Step 3: Cross multiply
    256,134.85x = 384,196.89 × 85,368.93
  4. Step 4: Simplify right side
    256,134.85x = 32,798,477,408.63
  5. Step 5: Solve for x
    x = 32,798,477,408.63/256,134.85
  6. Step 6: Final answer
    x = 128,051.60

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1.5x scale

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.