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Finding the Fourth Proportional to 105,185.83, 145,161.88 and 64,337.15

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Solution

The fourth proportional to 105,185.83, 145,161.88 and 64,337.15 is: 88,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,185.83 : 145,161.88 = 64,337.15 : x
  2. Step 2: Convert to fraction form
    105,185.83/145,161.88 = 64,337.15/x
  3. Step 3: Cross multiply
    105,185.83x = 145,161.88 × 64,337.15
  4. Step 4: Simplify right side
    105,185.83x = 9,339,301,647.84
  5. Step 5: Solve for x
    x = 9,339,301,647.84/105,185.83
  6. Step 6: Final answer
    x = 88,788.60

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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.