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Finding the Fourth Proportional to 243,127.98, 364,822.92 and 118,468.98

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Solution

The fourth proportional to 243,127.98, 364,822.92 and 118,468.98 is: 177,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,127.98 : 364,822.92 = 118,468.98 : x
  2. Step 2: Convert to fraction form
    243,127.98/364,822.92 = 118,468.98/x
  3. Step 3: Cross multiply
    243,127.98x = 364,822.92 × 118,468.98
  4. Step 4: Simplify right side
    243,127.98x = 43,220,199,213.02
  5. Step 5: Solve for x
    x = 43,220,199,213.02/243,127.98
  6. Step 6: Final answer
    x = 177,767.28

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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.