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Finding the Fourth Proportional to 214,458.68, 321,690.35 and 64,700.28

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Solution

The fourth proportional to 214,458.68, 321,690.35 and 64,700.28 is: 97,051.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458.68 : 321,690.35 = 64,700.28 : x
  2. Step 2: Convert to fraction form
    214,458.68/321,690.35 = 64,700.28/x
  3. Step 3: Cross multiply
    214,458.68x = 321,690.35 × 64,700.28
  4. Step 4: Simplify right side
    214,458.68x = 20,813,455,880.05
  5. Step 5: Solve for x
    x = 20,813,455,880.05/214,458.68
  6. Step 6: Final answer
    x = 97,051.12

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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.