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Finding the Fourth Proportional to 123,509.20, 185,263.87 and 34,762.71

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Solution

The fourth proportional to 123,509.20, 185,263.87 and 34,762.71 is: 52,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,509.20 : 185,263.87 = 34,762.71 : x
  2. Step 2: Convert to fraction form
    123,509.20/185,263.87 = 34,762.71/x
  3. Step 3: Cross multiply
    123,509.20x = 185,263.87 × 34,762.71
  4. Step 4: Simplify right side
    123,509.20x = 6,440,274,186.29
  5. Step 5: Solve for x
    x = 6,440,274,186.29/123,509.20
  6. Step 6: Final answer
    x = 52,144.08

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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.