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Finding the Fourth Proportional to 351,335.50, 527,017.83 and 102,017.50

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Solution

The fourth proportional to 351,335.50, 527,017.83 and 102,017.50 is: 153,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,335.50 : 527,017.83 = 102,017.50 : x
  2. Step 2: Convert to fraction form
    351,335.50/527,017.83 = 102,017.50/x
  3. Step 3: Cross multiply
    351,335.50x = 527,017.83 × 102,017.50
  4. Step 4: Simplify right side
    351,335.50x = 53,765,041,472.03
  5. Step 5: Solve for x
    x = 53,765,041,472.03/351,335.50
  6. Step 6: Final answer
    x = 153,030.48

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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.