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Finding the Fourth Proportional to 214,038.30, 321,060.59 and 101,729.98

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Solution

The fourth proportional to 214,038.30, 321,060.59 and 101,729.98 is: 152,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,038.30 : 321,060.59 = 101,729.98 : x
  2. Step 2: Convert to fraction form
    214,038.30/321,060.59 = 101,729.98/x
  3. Step 3: Cross multiply
    214,038.30x = 321,060.59 × 101,729.98
  4. Step 4: Simplify right side
    214,038.30x = 32,661,485,581.57
  5. Step 5: Solve for x
    x = 32,661,485,581.57/214,038.30
  6. Step 6: Final answer
    x = 152,596.46

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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.