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Finding the Fourth Proportional to 253,647.12, 380,363.76 and 103,784.16

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Solution

The fourth proportional to 253,647.12, 380,363.76 and 103,784.16 is: 155,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,647.12 : 380,363.76 = 103,784.16 : x
  2. Step 2: Convert to fraction form
    253,647.12/380,363.76 = 103,784.16/x
  3. Step 3: Cross multiply
    253,647.12x = 380,363.76 × 103,784.16
  4. Step 4: Simplify right side
    253,647.12x = 39,475,733,326.04
  5. Step 5: Solve for x
    x = 39,475,733,326.04/253,647.12
  6. Step 6: Final answer
    x = 155,632.49

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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.