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Finding the Fourth Proportional to 173,838.10, 260,429.10 and 162,028.30

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Solution

The fourth proportional to 173,838.10, 260,429.10 and 162,028.30 is: 242,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,838.10 : 260,429.10 = 162,028.30 : x
  2. Step 2: Convert to fraction form
    173,838.10/260,429.10 = 162,028.30/x
  3. Step 3: Cross multiply
    173,838.10x = 260,429.10 × 162,028.30
  4. Step 4: Simplify right side
    173,838.10x = 42,196,884,343.53
  5. Step 5: Solve for x
    x = 42,196,884,343.53/173,838.10
  6. Step 6: Final answer
    x = 242,736.69

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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.