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Finding the Fourth Proportional to 276,295, 414,510.54 and 89,306.50

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Solution

The fourth proportional to 276,295, 414,510.54 and 89,306.50 is: 133,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,295 : 414,510.54 = 89,306.50 : x
  2. Step 2: Convert to fraction form
    276,295/414,510.54 = 89,306.50/x
  3. Step 3: Cross multiply
    276,295x = 414,510.54 × 89,306.50
  4. Step 4: Simplify right side
    276,295x = 37,018,485,540.51
  5. Step 5: Solve for x
    x = 37,018,485,540.51/276,295
  6. Step 6: Final answer
    x = 133,981.74

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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.