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Finding the Fourth Proportional to 264,543.46, 364,869.93 and 183,930.64

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Solution

The fourth proportional to 264,543.46, 364,869.93 and 183,930.64 is: 253,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,543.46 : 364,869.93 = 183,930.64 : x
  2. Step 2: Convert to fraction form
    264,543.46/364,869.93 = 183,930.64/x
  3. Step 3: Cross multiply
    264,543.46x = 364,869.93 × 183,930.64
  4. Step 4: Simplify right side
    264,543.46x = 67,110,759,519.22
  5. Step 5: Solve for x
    x = 67,110,759,519.22/264,543.46
  6. Step 6: Final answer
    x = 253,685.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.