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Finding the Fourth Proportional to 402,155.40, 603,232.71 and 102,635.94

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Solution

The fourth proportional to 402,155.40, 603,232.71 and 102,635.94 is: 153,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,155.40 : 603,232.71 = 102,635.94 : x
  2. Step 2: Convert to fraction form
    402,155.40/603,232.71 = 102,635.94/x
  3. Step 3: Cross multiply
    402,155.40x = 603,232.71 × 102,635.94
  4. Step 4: Simplify right side
    402,155.40x = 61,913,356,229.60
  5. Step 5: Solve for x
    x = 61,913,356,229.60/402,155.40
  6. Step 6: Final answer
    x = 153,953.81

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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.