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Finding the Fourth Proportional to 223,777.02, 308,812.14 and 123,175.02

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Solution

The fourth proportional to 223,777.02, 308,812.14 and 123,175.02 is: 169,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,777.02 : 308,812.14 = 123,175.02 : x
  2. Step 2: Convert to fraction form
    223,777.02/308,812.14 = 123,175.02/x
  3. Step 3: Cross multiply
    223,777.02x = 308,812.14 × 123,175.02
  4. Step 4: Simplify right side
    223,777.02x = 38,037,941,520.74
  5. Step 5: Solve for x
    x = 38,037,941,520.74/223,777.02
  6. Step 6: Final answer
    x = 169,981.45

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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.