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Finding the Fourth Proportional to 82,822.40, 119,859.20 and 82,822.40

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Solution

The fourth proportional to 82,822.40, 119,859.20 and 82,822.40 is: 119,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,822.40 : 119,859.20 = 82,822.40 : x
  2. Step 2: Convert to fraction form
    82,822.40/119,859.20 = 82,822.40/x
  3. Step 3: Cross multiply
    82,822.40x = 119,859.20 × 82,822.40
  4. Step 4: Simplify right side
    82,822.40x = 9,927,026,606.08
  5. Step 5: Solve for x
    x = 9,927,026,606.08/82,822.40
  6. Step 6: Final answer
    x = 119,859.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.