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Finding the Fourth Proportional to 228,098.90, 342,148.35 and 101,738.90

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Solution

The fourth proportional to 228,098.90, 342,148.35 and 101,738.90 is: 152,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.90 : 342,148.35 = 101,738.90 : x
  2. Step 2: Convert to fraction form
    228,098.90/342,148.35 = 101,738.90/x
  3. Step 3: Cross multiply
    228,098.90x = 342,148.35 × 101,738.90
  4. Step 4: Simplify right side
    228,098.90x = 34,809,796,765.82
  5. Step 5: Solve for x
    x = 34,809,796,765.82/228,098.90
  6. Step 6: Final answer
    x = 152,608.35

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1.5x scale

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.