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Finding the Fourth Proportional to 185,678.96, 256,199.64 and 114,070.64

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Solution

The fourth proportional to 185,678.96, 256,199.64 and 114,070.64 is: 157,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,678.96 : 256,199.64 = 114,070.64 : x
  2. Step 2: Convert to fraction form
    185,678.96/256,199.64 = 114,070.64/x
  3. Step 3: Cross multiply
    185,678.96x = 256,199.64 × 114,070.64
  4. Step 4: Simplify right side
    185,678.96x = 29,224,856,902.57
  5. Step 5: Solve for x
    x = 29,224,856,902.57/185,678.96
  6. Step 6: Final answer
    x = 157,394.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.