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Finding the Fourth Proportional to 99,056.88, 148,624.20 and 43,614

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Solution

The fourth proportional to 99,056.88, 148,624.20 and 43,614 is: 65,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,056.88 : 148,624.20 = 43,614 : x
  2. Step 2: Convert to fraction form
    99,056.88/148,624.20 = 43,614/x
  3. Step 3: Cross multiply
    99,056.88x = 148,624.20 × 43,614
  4. Step 4: Simplify right side
    99,056.88x = 6,482,095,858.80
  5. Step 5: Solve for x
    x = 6,482,095,858.80/99,056.88
  6. Step 6: Final answer
    x = 65,438.12

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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.