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Finding the Fourth Proportional to 123,527, 185,538.45 and 73,704.32

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Solution

The fourth proportional to 123,527, 185,538.45 and 73,704.32 is: 110,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,527 : 185,538.45 = 73,704.32 : x
  2. Step 2: Convert to fraction form
    123,527/185,538.45 = 73,704.32/x
  3. Step 3: Cross multiply
    123,527x = 185,538.45 × 73,704.32
  4. Step 4: Simplify right side
    123,527x = 13,674,985,291.10
  5. Step 5: Solve for x
    x = 13,674,985,291.10/123,527
  6. Step 6: Final answer
    x = 110,704.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.