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Finding the Fourth Proportional to 204,051.40, 306,077.10 and 85,683.40

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Solution

The fourth proportional to 204,051.40, 306,077.10 and 85,683.40 is: 128,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,051.40 : 306,077.10 = 85,683.40 : x
  2. Step 2: Convert to fraction form
    204,051.40/306,077.10 = 85,683.40/x
  3. Step 3: Cross multiply
    204,051.40x = 306,077.10 × 85,683.40
  4. Step 4: Simplify right side
    204,051.40x = 26,225,726,590.14
  5. Step 5: Solve for x
    x = 26,225,726,590.14/204,051.40
  6. Step 6: Final answer
    x = 128,525.10

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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.