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Finding the Fourth Proportional to 268,254, 370,200.24 and 153,553.68

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Solution

The fourth proportional to 268,254, 370,200.24 and 153,553.68 is: 211,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,254 : 370,200.24 = 153,553.68 : x
  2. Step 2: Convert to fraction form
    268,254/370,200.24 = 153,553.68/x
  3. Step 3: Cross multiply
    268,254x = 370,200.24 × 153,553.68
  4. Step 4: Simplify right side
    268,254x = 56,845,609,188.88
  5. Step 5: Solve for x
    x = 56,845,609,188.88/268,254
  6. Step 6: Final answer
    x = 211,909.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.