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Finding the Fourth Proportional to 228,071.34, 342,162.79 and 160,734.76

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Solution

The fourth proportional to 228,071.34, 342,162.79 and 160,734.76 is: 241,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,071.34 : 342,162.79 = 160,734.76 : x
  2. Step 2: Convert to fraction form
    228,071.34/342,162.79 = 160,734.76/x
  3. Step 3: Cross multiply
    228,071.34x = 342,162.79 × 160,734.76
  4. Step 4: Simplify right side
    228,071.34x = 54,997,453,931.58
  5. Step 5: Solve for x
    x = 54,997,453,931.58/228,071.34
  6. Step 6: Final answer
    x = 241,141.45

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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.