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Finding the Fourth Proportional to 270,420.60, 405,669.30 and 83,412.60

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Solution

The fourth proportional to 270,420.60, 405,669.30 and 83,412.60 is: 125,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,420.60 : 405,669.30 = 83,412.60 : x
  2. Step 2: Convert to fraction form
    270,420.60/405,669.30 = 83,412.60/x
  3. Step 3: Cross multiply
    270,420.60x = 405,669.30 × 83,412.60
  4. Step 4: Simplify right side
    270,420.60x = 33,837,931,053.18
  5. Step 5: Solve for x
    x = 33,837,931,053.18/270,420.60
  6. Step 6: Final answer
    x = 125,130.74

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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.