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Finding the Fourth Proportional to 301,624.80, 452,492.82 and 99,232.30

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Solution

The fourth proportional to 301,624.80, 452,492.82 and 99,232.30 is: 148,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,624.80 : 452,492.82 = 99,232.30 : x
  2. Step 2: Convert to fraction form
    301,624.80/452,492.82 = 99,232.30/x
  3. Step 3: Cross multiply
    301,624.80x = 452,492.82 × 99,232.30
  4. Step 4: Simplify right side
    301,624.80x = 44,901,903,262.09
  5. Step 5: Solve for x
    x = 44,901,903,262.09/301,624.80
  6. Step 6: Final answer
    x = 148,866.75

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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.