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Finding the Fourth Proportional to 100,653.84, 150,894.36 and 56,244.24

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Solution

The fourth proportional to 100,653.84, 150,894.36 and 56,244.24 is: 84,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.84 : 150,894.36 = 56,244.24 : x
  2. Step 2: Convert to fraction form
    100,653.84/150,894.36 = 56,244.24/x
  3. Step 3: Cross multiply
    100,653.84x = 150,894.36 × 56,244.24
  4. Step 4: Simplify right side
    100,653.84x = 8,486,938,598.49
  5. Step 5: Solve for x
    x = 8,486,938,598.49/100,653.84
  6. Step 6: Final answer
    x = 84,318.08

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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.