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Finding the Fourth Proportional to 97,698.20, 146,547.30 and 91,866.20

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Solution

The fourth proportional to 97,698.20, 146,547.30 and 91,866.20 is: 137,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,698.20 : 146,547.30 = 91,866.20 : x
  2. Step 2: Convert to fraction form
    97,698.20/146,547.30 = 91,866.20/x
  3. Step 3: Cross multiply
    97,698.20x = 146,547.30 × 91,866.20
  4. Step 4: Simplify right side
    97,698.20x = 13,462,743,571.26
  5. Step 5: Solve for x
    x = 13,462,743,571.26/97,698.20
  6. Step 6: Final answer
    x = 137,799.30

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1.5x scale

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.