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Finding the Fourth Proportional to 189,194.16, 283,820.40 and 64,506

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Solution

The fourth proportional to 189,194.16, 283,820.40 and 64,506 is: 96,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,194.16 : 283,820.40 = 64,506 : x
  2. Step 2: Convert to fraction form
    189,194.16/283,820.40 = 64,506/x
  3. Step 3: Cross multiply
    189,194.16x = 283,820.40 × 64,506
  4. Step 4: Simplify right side
    189,194.16x = 18,308,118,722.40
  5. Step 5: Solve for x
    x = 18,308,118,722.40/189,194.16
  6. Step 6: Final answer
    x = 96,768.94

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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.