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Finding the Fourth Proportional to 105,218.80, 145,254.33 and 64,954.77

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Solution

The fourth proportional to 105,218.80, 145,254.33 and 64,954.77 is: 89,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,218.80 : 145,254.33 = 64,954.77 : x
  2. Step 2: Convert to fraction form
    105,218.80/145,254.33 = 64,954.77/x
  3. Step 3: Cross multiply
    105,218.80x = 145,254.33 × 64,954.77
  4. Step 4: Simplify right side
    105,218.80x = 9,434,961,596.65
  5. Step 5: Solve for x
    x = 9,434,961,596.65/105,218.80
  6. Step 6: Final answer
    x = 89,669.92

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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.