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Finding the Fourth Proportional to 105,212.36, 145,190.72 and 57,465.88

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Solution

The fourth proportional to 105,212.36, 145,190.72 and 57,465.88 is: 79,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,212.36 : 145,190.72 = 57,465.88 : x
  2. Step 2: Convert to fraction form
    105,212.36/145,190.72 = 57,465.88/x
  3. Step 3: Cross multiply
    105,212.36x = 145,190.72 × 57,465.88
  4. Step 4: Simplify right side
    105,212.36x = 8,343,512,492.63
  5. Step 5: Solve for x
    x = 8,343,512,492.63/105,212.36
  6. Step 6: Final answer
    x = 79,301.64

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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.