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Finding the Fourth Proportional to 228,051.40, 342,077.10 and 109,734.70

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Solution

The fourth proportional to 228,051.40, 342,077.10 and 109,734.70 is: 164,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,051.40 : 342,077.10 = 109,734.70 : x
  2. Step 2: Convert to fraction form
    228,051.40/342,077.10 = 109,734.70/x
  3. Step 3: Cross multiply
    228,051.40x = 342,077.10 × 109,734.70
  4. Step 4: Simplify right side
    228,051.40x = 37,537,727,945.37
  5. Step 5: Solve for x
    x = 37,537,727,945.37/228,051.40
  6. Step 6: Final answer
    x = 164,602.05

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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.