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Finding the Fourth Proportional to 208,522.84, 312,533.52 and 96,048.40

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Solution

The fourth proportional to 208,522.84, 312,533.52 and 96,048.40 is: 143,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.84 : 312,533.52 = 96,048.40 : x
  2. Step 2: Convert to fraction form
    208,522.84/312,533.52 = 96,048.40/x
  3. Step 3: Cross multiply
    208,522.84x = 312,533.52 × 96,048.40
  4. Step 4: Simplify right side
    208,522.84x = 30,018,344,542.37
  5. Step 5: Solve for x
    x = 30,018,344,542.37/208,522.84
  6. Step 6: Final answer
    x = 143,957.11

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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.