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Finding the Fourth Proportional to 232,969.84, 349,415.84 and 64,507.20

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Solution

The fourth proportional to 232,969.84, 349,415.84 and 64,507.20 is: 96,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969.84 : 349,415.84 = 64,507.20 : x
  2. Step 2: Convert to fraction form
    232,969.84/349,415.84 = 64,507.20/x
  3. Step 3: Cross multiply
    232,969.84x = 349,415.84 × 64,507.20
  4. Step 4: Simplify right side
    232,969.84x = 22,539,836,358.61
  5. Step 5: Solve for x
    x = 22,539,836,358.61/232,969.84
  6. Step 6: Final answer
    x = 96,750.02

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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.