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Finding the Fourth Proportional to 99,506.88, 149,204.16 and 37,152

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Solution

The fourth proportional to 99,506.88, 149,204.16 and 37,152 is: 55,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506.88 : 149,204.16 = 37,152 : x
  2. Step 2: Convert to fraction form
    99,506.88/149,204.16 = 37,152/x
  3. Step 3: Cross multiply
    99,506.88x = 149,204.16 × 37,152
  4. Step 4: Simplify right side
    99,506.88x = 5,543,232,952.32
  5. Step 5: Solve for x
    x = 5,543,232,952.32/99,506.88
  6. Step 6: Final answer
    x = 55,707.03

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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.