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Finding the Fourth Proportional to 232,883.64, 349,325.03 and 72,971.82

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Solution

The fourth proportional to 232,883.64, 349,325.03 and 72,971.82 is: 109,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,883.64 : 349,325.03 = 72,971.82 : x
  2. Step 2: Convert to fraction form
    232,883.64/349,325.03 = 72,971.82/x
  3. Step 3: Cross multiply
    232,883.64x = 349,325.03 × 72,971.82
  4. Step 4: Simplify right side
    232,883.64x = 25,490,881,099.17
  5. Step 5: Solve for x
    x = 25,490,881,099.17/232,883.64
  6. Step 6: Final answer
    x = 109,457.59

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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.