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Finding the Fourth Proportional to 242,734.94, 364,063.39 and 102,475.34

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Solution

The fourth proportional to 242,734.94, 364,063.39 and 102,475.34 is: 153,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,734.94 : 364,063.39 = 102,475.34 : x
  2. Step 2: Convert to fraction form
    242,734.94/364,063.39 = 102,475.34/x
  3. Step 3: Cross multiply
    242,734.94x = 364,063.39 × 102,475.34
  4. Step 4: Simplify right side
    242,734.94x = 37,307,517,595.30
  5. Step 5: Solve for x
    x = 37,307,517,595.30/242,734.94
  6. Step 6: Final answer
    x = 153,696.53

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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.