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Finding the Fourth Proportional to 351,534.61, 527,389.40 and 102,216.61

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Solution

The fourth proportional to 351,534.61, 527,389.40 and 102,216.61 is: 153,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,534.61 : 527,389.40 = 102,216.61 : x
  2. Step 2: Convert to fraction form
    351,534.61/527,389.40 = 102,216.61/x
  3. Step 3: Cross multiply
    351,534.61x = 527,389.40 × 102,216.61
  4. Step 4: Simplify right side
    351,534.61x = 53,907,956,106.85
  5. Step 5: Solve for x
    x = 53,907,956,106.85/351,534.61
  6. Step 6: Final answer
    x = 153,350.35

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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.