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Finding the Fourth Proportional to 216,148.78, 324,185.37 and 97,792.30

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Solution

The fourth proportional to 216,148.78, 324,185.37 and 97,792.30 is: 146,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,148.78 : 324,185.37 = 97,792.30 : x
  2. Step 2: Convert to fraction form
    216,148.78/324,185.37 = 97,792.30/x
  3. Step 3: Cross multiply
    216,148.78x = 324,185.37 × 97,792.30
  4. Step 4: Simplify right side
    216,148.78x = 31,702,832,958.65
  5. Step 5: Solve for x
    x = 31,702,832,958.65/216,148.78
  6. Step 6: Final answer
    x = 146,671.35

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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.