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Finding the Fourth Proportional to 145,024.65, 200,130.93 and 80,490.12

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Solution

The fourth proportional to 145,024.65, 200,130.93 and 80,490.12 is: 111,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,024.65 : 200,130.93 = 80,490.12 : x
  2. Step 2: Convert to fraction form
    145,024.65/200,130.93 = 80,490.12/x
  3. Step 3: Cross multiply
    145,024.65x = 200,130.93 × 80,490.12
  4. Step 4: Simplify right side
    145,024.65x = 16,108,562,571.41
  5. Step 5: Solve for x
    x = 16,108,562,571.41/145,024.65
  6. Step 6: Final answer
    x = 111,074.65

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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.