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Finding the Fourth Proportional to 210,225.56, 315,329.52 and 97,867.16

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Solution

The fourth proportional to 210,225.56, 315,329.52 and 97,867.16 is: 146,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,225.56 : 315,329.52 = 97,867.16 : x
  2. Step 2: Convert to fraction form
    210,225.56/315,329.52 = 97,867.16/x
  3. Step 3: Cross multiply
    210,225.56x = 315,329.52 × 97,867.16
  4. Step 4: Simplify right side
    210,225.56x = 30,860,404,586.56
  5. Step 5: Solve for x
    x = 30,860,404,586.56/210,225.56
  6. Step 6: Final answer
    x = 146,796.63

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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.