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Finding the Fourth Proportional to 105,090.69, 145,028.66 and 57,346.66

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Solution

The fourth proportional to 105,090.69, 145,028.66 and 57,346.66 is: 79,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,090.69 : 145,028.66 = 57,346.66 : x
  2. Step 2: Convert to fraction form
    105,090.69/145,028.66 = 57,346.66/x
  3. Step 3: Cross multiply
    105,090.69x = 145,028.66 × 57,346.66
  4. Step 4: Simplify right side
    105,090.69x = 8,316,909,255.28
  5. Step 5: Solve for x
    x = 8,316,909,255.28/105,090.69
  6. Step 6: Final answer
    x = 79,140.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.