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Finding the Fourth Proportional to 238,206.40, 357,002.40 and 182,526.40

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Solution

The fourth proportional to 238,206.40, 357,002.40 and 182,526.40 is: 273,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,206.40 : 357,002.40 = 182,526.40 : x
  2. Step 2: Convert to fraction form
    238,206.40/357,002.40 = 182,526.40/x
  3. Step 3: Cross multiply
    238,206.40x = 357,002.40 × 182,526.40
  4. Step 4: Simplify right side
    238,206.40x = 65,162,362,863.36
  5. Step 5: Solve for x
    x = 65,162,362,863.36/238,206.40
  6. Step 6: Final answer
    x = 273,554.21

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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.