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Finding the Fourth Proportional to 315,352.82, 473,076.05 and 102,049.25

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Solution

The fourth proportional to 315,352.82, 473,076.05 and 102,049.25 is: 153,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,352.82 : 473,076.05 = 102,049.25 : x
  2. Step 2: Convert to fraction form
    315,352.82/473,076.05 = 102,049.25/x
  3. Step 3: Cross multiply
    315,352.82x = 473,076.05 × 102,049.25
  4. Step 4: Simplify right side
    315,352.82x = 48,277,053,219.84
  5. Step 5: Solve for x
    x = 48,277,053,219.84/315,352.82
  6. Step 6: Final answer
    x = 153,089.02

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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.