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Finding the Fourth Proportional to 314,065.64, 471,141.89 and 100,783.39

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Solution

The fourth proportional to 314,065.64, 471,141.89 and 100,783.39 is: 151,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,065.64 : 471,141.89 = 100,783.39 : x
  2. Step 2: Convert to fraction form
    314,065.64/471,141.89 = 100,783.39/x
  3. Step 3: Cross multiply
    314,065.64x = 471,141.89 × 100,783.39
  4. Step 4: Simplify right side
    314,065.64x = 47,483,276,845.21
  5. Step 5: Solve for x
    x = 47,483,276,845.21/314,065.64
  6. Step 6: Final answer
    x = 151,189.02

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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.