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Finding the Fourth Proportional to 523,154.45, 784,740.78 and 144,073.25

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Solution

The fourth proportional to 523,154.45, 784,740.78 and 144,073.25 is: 216,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,154.45 : 784,740.78 = 144,073.25 : x
  2. Step 2: Convert to fraction form
    523,154.45/784,740.78 = 144,073.25/x
  3. Step 3: Cross multiply
    523,154.45x = 784,740.78 × 144,073.25
  4. Step 4: Simplify right side
    523,154.45x = 113,060,154,582.14
  5. Step 5: Solve for x
    x = 113,060,154,582.14/523,154.45
  6. Step 6: Final answer
    x = 216,112.38

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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.