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Finding the Fourth Proportional to 105,209.66, 145,190.48 and 57,464.40

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Solution

The fourth proportional to 105,209.66, 145,190.48 and 57,464.40 is: 79,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,209.66 : 145,190.48 = 57,464.40 : x
  2. Step 2: Convert to fraction form
    105,209.66/145,190.48 = 57,464.40/x
  3. Step 3: Cross multiply
    105,209.66x = 145,190.48 × 57,464.40
  4. Step 4: Simplify right side
    105,209.66x = 8,343,283,818.91
  5. Step 5: Solve for x
    x = 8,343,283,818.91/105,209.66
  6. Step 6: Final answer
    x = 79,301.50

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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.