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Finding the Fourth Proportional to 305,732.02, 421,922.32 and 176,666.21

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Solution

The fourth proportional to 305,732.02, 421,922.32 and 176,666.21 is: 243,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,732.02 : 421,922.32 = 176,666.21 : x
  2. Step 2: Convert to fraction form
    305,732.02/421,922.32 = 176,666.21/x
  3. Step 3: Cross multiply
    305,732.02x = 421,922.32 × 176,666.21
  4. Step 4: Simplify right side
    305,732.02x = 74,539,417,188.81
  5. Step 5: Solve for x
    x = 74,539,417,188.81/305,732.02
  6. Step 6: Final answer
    x = 243,806.38

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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.