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Finding the Fourth Proportional to 105,505.37, 145,599.21 and 65,218.09

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Solution

The fourth proportional to 105,505.37, 145,599.21 and 65,218.09 is: 90,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,505.37 : 145,599.21 = 65,218.09 : x
  2. Step 2: Convert to fraction form
    105,505.37/145,599.21 = 65,218.09/x
  3. Step 3: Cross multiply
    105,505.37x = 145,599.21 × 65,218.09
  4. Step 4: Simplify right side
    105,505.37x = 9,495,702,381.71
  5. Step 5: Solve for x
    x = 9,495,702,381.71/105,505.37
  6. Step 6: Final answer
    x = 90,002.08

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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.