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Finding the Fourth Proportional to 238,175.84, 357,271.92 and 119,782.64

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Solution

The fourth proportional to 238,175.84, 357,271.92 and 119,782.64 is: 179,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,175.84 : 357,271.92 = 119,782.64 : x
  2. Step 2: Convert to fraction form
    238,175.84/357,271.92 = 119,782.64/x
  3. Step 3: Cross multiply
    238,175.84x = 357,271.92 × 119,782.64
  4. Step 4: Simplify right side
    238,175.84x = 42,794,973,775.47
  5. Step 5: Solve for x
    x = 42,794,973,775.47/238,175.84
  6. Step 6: Final answer
    x = 179,678.06

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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.