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Finding the Fourth Proportional to 123,560, 185,341.62 and 40,454

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Solution

The fourth proportional to 123,560, 185,341.62 and 40,454 is: 60,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,560 : 185,341.62 = 40,454 : x
  2. Step 2: Convert to fraction form
    123,560/185,341.62 = 40,454/x
  3. Step 3: Cross multiply
    123,560x = 185,341.62 × 40,454
  4. Step 4: Simplify right side
    123,560x = 7,497,809,895.48
  5. Step 5: Solve for x
    x = 7,497,809,895.48/123,560
  6. Step 6: Final answer
    x = 60,681.53

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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.