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Finding the Fourth Proportional to 154,804.66, 232,211.44 and 42,485.80

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Solution

The fourth proportional to 154,804.66, 232,211.44 and 42,485.80 is: 63,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,804.66 : 232,211.44 = 42,485.80 : x
  2. Step 2: Convert to fraction form
    154,804.66/232,211.44 = 42,485.80/x
  3. Step 3: Cross multiply
    154,804.66x = 232,211.44 × 42,485.80
  4. Step 4: Simplify right side
    154,804.66x = 9,865,688,797.55
  5. Step 5: Solve for x
    x = 9,865,688,797.55/154,804.66
  6. Step 6: Final answer
    x = 63,729.92

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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.