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Finding the Fourth Proportional to 98,895.84, 148,423.48 and 51,525.42

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Solution

The fourth proportional to 98,895.84, 148,423.48 and 51,525.42 is: 77,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,895.84 : 148,423.48 = 51,525.42 : x
  2. Step 2: Convert to fraction form
    98,895.84/148,423.48 = 51,525.42/x
  3. Step 3: Cross multiply
    98,895.84x = 148,423.48 × 51,525.42
  4. Step 4: Simplify right side
    98,895.84x = 7,647,582,144.86
  5. Step 5: Solve for x
    x = 7,647,582,144.86/98,895.84
  6. Step 6: Final answer
    x = 77,329.66

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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.