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Finding the Fourth Proportional to 104,574.30, 144,312.72 and 56,827.68

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Solution

The fourth proportional to 104,574.30, 144,312.72 and 56,827.68 is: 78,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,574.30 : 144,312.72 = 56,827.68 : x
  2. Step 2: Convert to fraction form
    104,574.30/144,312.72 = 56,827.68/x
  3. Step 3: Cross multiply
    104,574.30x = 144,312.72 × 56,827.68
  4. Step 4: Simplify right side
    104,574.30x = 8,200,957,072.09
  5. Step 5: Solve for x
    x = 8,200,957,072.09/104,574.30
  6. Step 6: Final answer
    x = 78,422.30

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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.