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Finding the Fourth Proportional to 152,822.40, 229,233.60 and 152,822.40

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Solution

The fourth proportional to 152,822.40, 229,233.60 and 152,822.40 is: 229,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,822.40 : 229,233.60 = 152,822.40 : x
  2. Step 2: Convert to fraction form
    152,822.40/229,233.60 = 152,822.40/x
  3. Step 3: Cross multiply
    152,822.40x = 229,233.60 × 152,822.40
  4. Step 4: Simplify right side
    152,822.40x = 35,032,028,912.64
  5. Step 5: Solve for x
    x = 35,032,028,912.64/152,822.40
  6. Step 6: Final answer
    x = 229,233.60

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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.