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Finding the Fourth Proportional to 105,505.68, 145,597.32 and 57,758.16

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Solution

The fourth proportional to 105,505.68, 145,597.32 and 57,758.16 is: 79,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,505.68 : 145,597.32 = 57,758.16 : x
  2. Step 2: Convert to fraction form
    105,505.68/145,597.32 = 57,758.16/x
  3. Step 3: Cross multiply
    105,505.68x = 145,597.32 × 57,758.16
  4. Step 4: Simplify right side
    105,505.68x = 8,409,433,304.13
  5. Step 5: Solve for x
    x = 8,409,433,304.13/105,505.68
  6. Step 6: Final answer
    x = 79,705.98

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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.