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Finding the Fourth Proportional to 301,698.20, 452,547.30 and 91,346.60

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Solution

The fourth proportional to 301,698.20, 452,547.30 and 91,346.60 is: 137,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698.20 : 452,547.30 = 91,346.60 : x
  2. Step 2: Convert to fraction form
    301,698.20/452,547.30 = 91,346.60/x
  3. Step 3: Cross multiply
    301,698.20x = 452,547.30 × 91,346.60
  4. Step 4: Simplify right side
    301,698.20x = 41,338,657,194.18
  5. Step 5: Solve for x
    x = 41,338,657,194.18/301,698.20
  6. Step 6: Final answer
    x = 137,019.90

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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.