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Finding the Fourth Proportional to 176,657.06, 264,994.10 and 58,325.78

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Solution

The fourth proportional to 176,657.06, 264,994.10 and 58,325.78 is: 87,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,657.06 : 264,994.10 = 58,325.78 : x
  2. Step 2: Convert to fraction form
    176,657.06/264,994.10 = 58,325.78/x
  3. Step 3: Cross multiply
    176,657.06x = 264,994.10 × 58,325.78
  4. Step 4: Simplify right side
    176,657.06x = 15,455,987,577.90
  5. Step 5: Solve for x
    x = 15,455,987,577.90/176,657.06
  6. Step 6: Final answer
    x = 87,491.48

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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.