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Finding the Fourth Proportional to 98,782.45, 148,024.00 and 65,382.86

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Solution

The fourth proportional to 98,782.45, 148,024.00 and 65,382.86 is: 97,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,782.45 : 148,024.00 = 65,382.86 : x
  2. Step 2: Convert to fraction form
    98,782.45/148,024.00 = 65,382.86/x
  3. Step 3: Cross multiply
    98,782.45x = 148,024.00 × 65,382.86
  4. Step 4: Simplify right side
    98,782.45x = 9,678,232,120.15
  5. Step 5: Solve for x
    x = 9,678,232,120.15/98,782.45
  6. Step 6: Final answer
    x = 97,975.22

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Why These Related Problems?

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