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Finding the Fourth Proportional to 191,146.34, 286,540.44 and 64,698.10

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Solution

The fourth proportional to 191,146.34, 286,540.44 and 64,698.10 is: 96,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,146.34 : 286,540.44 = 64,698.10 : x
  2. Step 2: Convert to fraction form
    191,146.34/286,540.44 = 64,698.10/x
  3. Step 3: Cross multiply
    191,146.34x = 286,540.44 × 64,698.10
  4. Step 4: Simplify right side
    191,146.34x = 18,538,621,567.43
  5. Step 5: Solve for x
    x = 18,538,621,567.43/191,146.34
  6. Step 6: Final answer
    x = 96,986.54

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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.