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Finding the Fourth Proportional to 402,157.02, 603,235.20 and 102,637.65

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Solution

The fourth proportional to 402,157.02, 603,235.20 and 102,637.65 is: 153,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,157.02 : 603,235.20 = 102,637.65 : x
  2. Step 2: Convert to fraction form
    402,157.02/603,235.20 = 102,637.65/x
  3. Step 3: Cross multiply
    402,157.02x = 603,235.20 × 102,637.65
  4. Step 4: Simplify right side
    402,157.02x = 61,914,643,325.28
  5. Step 5: Solve for x
    x = 61,914,643,325.28/402,157.02
  6. Step 6: Final answer
    x = 153,956.39

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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.