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Finding the Fourth Proportional to 402,232.02, 603,347.65 and 102,712.65

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Solution

The fourth proportional to 402,232.02, 603,347.65 and 102,712.65 is: 154,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,232.02 : 603,347.65 = 102,712.65 : x
  2. Step 2: Convert to fraction form
    402,232.02/603,347.65 = 102,712.65/x
  3. Step 3: Cross multiply
    402,232.02x = 603,347.65 × 102,712.65
  4. Step 4: Simplify right side
    402,232.02x = 61,971,436,002.77
  5. Step 5: Solve for x
    x = 61,971,436,002.77/402,232.02
  6. Step 6: Final answer
    x = 154,068.88

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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.