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Finding the Fourth Proportional to 280,626.96, 421,106.51 and 103,258.52

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Solution

The fourth proportional to 280,626.96, 421,106.51 and 103,258.52 is: 154,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,626.96 : 421,106.51 = 103,258.52 : x
  2. Step 2: Convert to fraction form
    280,626.96/421,106.51 = 103,258.52/x
  3. Step 3: Cross multiply
    280,626.96x = 421,106.51 × 103,258.52
  4. Step 4: Simplify right side
    280,626.96x = 43,482,834,468.67
  5. Step 5: Solve for x
    x = 43,482,834,468.67/280,626.96
  6. Step 6: Final answer
    x = 154,948.89

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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.