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Finding the Fourth Proportional to 301,830.80, 452,746.20 and 91,441.40

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Solution

The fourth proportional to 301,830.80, 452,746.20 and 91,441.40 is: 137,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.80 : 452,746.20 = 91,441.40 : x
  2. Step 2: Convert to fraction form
    301,830.80/452,746.20 = 91,441.40/x
  3. Step 3: Cross multiply
    301,830.80x = 452,746.20 × 91,441.40
  4. Step 4: Simplify right side
    301,830.80x = 41,399,746,372.68
  5. Step 5: Solve for x
    x = 41,399,746,372.68/301,830.80
  6. Step 6: Final answer
    x = 137,162.10

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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.