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Finding the Fourth Proportional to 280,257.45, 386,763.47 and 152,941.24

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Solution

The fourth proportional to 280,257.45, 386,763.47 and 152,941.24 is: 211,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,257.45 : 386,763.47 = 152,941.24 : x
  2. Step 2: Convert to fraction form
    280,257.45/386,763.47 = 152,941.24/x
  3. Step 3: Cross multiply
    280,257.45x = 386,763.47 × 152,941.24
  4. Step 4: Simplify right side
    280,257.45x = 59,152,084,688.50
  5. Step 5: Solve for x
    x = 59,152,084,688.50/280,257.45
  6. Step 6: Final answer
    x = 211,063.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.