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Finding the Fourth Proportional to 210,211.56, 315,308.52 and 97,853.16

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Solution

The fourth proportional to 210,211.56, 315,308.52 and 97,853.16 is: 146,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211.56 : 315,308.52 = 97,853.16 : x
  2. Step 2: Convert to fraction form
    210,211.56/315,308.52 = 97,853.16/x
  3. Step 3: Cross multiply
    210,211.56x = 315,308.52 × 97,853.16
  4. Step 4: Simplify right side
    210,211.56x = 30,853,935,056.92
  5. Step 5: Solve for x
    x = 30,853,935,056.92/210,211.56
  6. Step 6: Final answer
    x = 146,775.63

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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.