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Finding the Fourth Proportional to 364,139.94, 546,209.91 and 114,821.94

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Solution

The fourth proportional to 364,139.94, 546,209.91 and 114,821.94 is: 172,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,139.94 : 546,209.91 = 114,821.94 : x
  2. Step 2: Convert to fraction form
    364,139.94/546,209.91 = 114,821.94/x
  3. Step 3: Cross multiply
    364,139.94x = 546,209.91 × 114,821.94
  4. Step 4: Simplify right side
    364,139.94x = 62,716,880,939.32
  5. Step 5: Solve for x
    x = 62,716,880,939.32/364,139.94
  6. Step 6: Final answer
    x = 172,232.91

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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.