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Finding the Fourth Proportional to 232,069.84, 320,314.44 and 142,594

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Solution

The fourth proportional to 232,069.84, 320,314.44 and 142,594 is: 196,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,069.84 : 320,314.44 = 142,594 : x
  2. Step 2: Convert to fraction form
    232,069.84/320,314.44 = 142,594/x
  3. Step 3: Cross multiply
    232,069.84x = 320,314.44 × 142,594
  4. Step 4: Simplify right side
    232,069.84x = 45,674,917,257.36
  5. Step 5: Solve for x
    x = 45,674,917,257.36/232,069.84
  6. Step 6: Final answer
    x = 196,815.40

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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.