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Finding the Fourth Proportional to 176,653.82, 264,820.36 and 64,254.57

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Solution

The fourth proportional to 176,653.82, 264,820.36 and 64,254.57 is: 96,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,653.82 : 264,820.36 = 64,254.57 : x
  2. Step 2: Convert to fraction form
    176,653.82/264,820.36 = 64,254.57/x
  3. Step 3: Cross multiply
    176,653.82x = 264,820.36 × 64,254.57
  4. Step 4: Simplify right side
    176,653.82x = 17,015,919,740.95
  5. Step 5: Solve for x
    x = 17,015,919,740.95/176,653.82
  6. Step 6: Final answer
    x = 96,323.53

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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.