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Finding the Fourth Proportional to 345,896.93, 518,817.71 and 153,830.83

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Solution

The fourth proportional to 345,896.93, 518,817.71 and 153,830.83 is: 230,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,896.93 : 518,817.71 = 153,830.83 : x
  2. Step 2: Convert to fraction form
    345,896.93/518,817.71 = 153,830.83/x
  3. Step 3: Cross multiply
    345,896.93x = 518,817.71 × 153,830.83
  4. Step 4: Simplify right side
    345,896.93x = 79,810,158,143.02
  5. Step 5: Solve for x
    x = 79,810,158,143.02/345,896.93
  6. Step 6: Final answer
    x = 230,733.93

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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.