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Finding the Fourth Proportional to 214,038.45, 321,060.80 and 101,730.13

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Solution

The fourth proportional to 214,038.45, 321,060.80 and 101,730.13 is: 152,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,038.45 : 321,060.80 = 101,730.13 : x
  2. Step 2: Convert to fraction form
    214,038.45/321,060.80 = 101,730.13/x
  3. Step 3: Cross multiply
    214,038.45x = 321,060.80 × 101,730.13
  4. Step 4: Simplify right side
    214,038.45x = 32,661,556,373.58
  5. Step 5: Solve for x
    x = 32,661,556,373.58/214,038.45
  6. Step 6: Final answer
    x = 152,596.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.