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Finding the Fourth Proportional to 276,292.76, 413,547.78 and 142,989.80

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Solution

The fourth proportional to 276,292.76, 413,547.78 and 142,989.80 is: 214,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,292.76 : 413,547.78 = 142,989.80 : x
  2. Step 2: Convert to fraction form
    276,292.76/413,547.78 = 142,989.80/x
  3. Step 3: Cross multiply
    276,292.76x = 413,547.78 × 142,989.80
  4. Step 4: Simplify right side
    276,292.76x = 59,133,114,352.64
  5. Step 5: Solve for x
    x = 59,133,114,352.64/276,292.76
  6. Step 6: Final answer
    x = 214,023.39

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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.