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Finding the Fourth Proportional to 614,122.23, 921,056.25 and 164,736.24

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Solution

The fourth proportional to 614,122.23, 921,056.25 and 164,736.24 is: 247,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,122.23 : 921,056.25 = 164,736.24 : x
  2. Step 2: Convert to fraction form
    614,122.23/921,056.25 = 164,736.24/x
  3. Step 3: Cross multiply
    614,122.23x = 921,056.25 × 164,736.24
  4. Step 4: Simplify right side
    614,122.23x = 151,731,343,453.50
  5. Step 5: Solve for x
    x = 151,731,343,453.50/614,122.23
  6. Step 6: Final answer
    x = 247,070.27

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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.