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Finding the Fourth Proportional to 364,068.12, 546,348.10 and 127,412.84

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Solution

The fourth proportional to 364,068.12, 546,348.10 and 127,412.84 is: 191,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,068.12 : 546,348.10 = 127,412.84 : x
  2. Step 2: Convert to fraction form
    364,068.12/546,348.10 = 127,412.84/x
  3. Step 3: Cross multiply
    364,068.12x = 546,348.10 × 127,412.84
  4. Step 4: Simplify right side
    364,068.12x = 69,611,763,049.60
  5. Step 5: Solve for x
    x = 69,611,763,049.60/364,068.12
  6. Step 6: Final answer
    x = 191,205.32

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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.