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Finding the Fourth Proportional to 96,822.30, 144,905.40 and 96,822.30

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Solution

The fourth proportional to 96,822.30, 144,905.40 and 96,822.30 is: 144,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822.30 : 144,905.40 = 96,822.30 : x
  2. Step 2: Convert to fraction form
    96,822.30/144,905.40 = 96,822.30/x
  3. Step 3: Cross multiply
    96,822.30x = 144,905.40 × 96,822.30
  4. Step 4: Simplify right side
    96,822.30x = 14,030,074,110.42
  5. Step 5: Solve for x
    x = 14,030,074,110.42/96,822.30
  6. Step 6: Final answer
    x = 144,905.40

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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.