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Finding the Fourth Proportional to 270,412.10, 405,656.55 and 83,404.10

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Solution

The fourth proportional to 270,412.10, 405,656.55 and 83,404.10 is: 125,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,412.10 : 405,656.55 = 83,404.10 : x
  2. Step 2: Convert to fraction form
    270,412.10/405,656.55 = 83,404.10/x
  3. Step 3: Cross multiply
    270,412.10x = 405,656.55 × 83,404.10
  4. Step 4: Simplify right side
    270,412.10x = 33,833,419,461.86
  5. Step 5: Solve for x
    x = 33,833,419,461.86/270,412.10
  6. Step 6: Final answer
    x = 125,117.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.