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Finding the Fourth Proportional to 200,054.40, 299,774.40 and 173,635.20

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Solution

The fourth proportional to 200,054.40, 299,774.40 and 173,635.20 is: 260,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,054.40 : 299,774.40 = 173,635.20 : x
  2. Step 2: Convert to fraction form
    200,054.40/299,774.40 = 173,635.20/x
  3. Step 3: Cross multiply
    200,054.40x = 299,774.40 × 173,635.20
  4. Step 4: Simplify right side
    200,054.40x = 52,051,387,898.88
  5. Step 5: Solve for x
    x = 52,051,387,898.88/200,054.40
  6. Step 6: Final answer
    x = 260,186.17

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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.