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Finding the Fourth Proportional to 214,143.60, 321,215.40 and 96,045.60

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Solution

The fourth proportional to 214,143.60, 321,215.40 and 96,045.60 is: 144,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,143.60 : 321,215.40 = 96,045.60 : x
  2. Step 2: Convert to fraction form
    214,143.60/321,215.40 = 96,045.60/x
  3. Step 3: Cross multiply
    214,143.60x = 321,215.40 × 96,045.60
  4. Step 4: Simplify right side
    214,143.60x = 30,851,325,822.24
  5. Step 5: Solve for x
    x = 30,851,325,822.24/214,143.60
  6. Step 6: Final answer
    x = 144,068.40

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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.