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Finding the Fourth Proportional to 104,457.80, 144,154.89 and 56,714.38

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Solution

The fourth proportional to 104,457.80, 144,154.89 and 56,714.38 is: 78,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,457.80 : 144,154.89 = 56,714.38 : x
  2. Step 2: Convert to fraction form
    104,457.80/144,154.89 = 56,714.38/x
  3. Step 3: Cross multiply
    104,457.80x = 144,154.89 × 56,714.38
  4. Step 4: Simplify right side
    104,457.80x = 8,175,654,849.93
  5. Step 5: Solve for x
    x = 8,175,654,849.93/104,457.80
  6. Step 6: Final answer
    x = 78,267.54

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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.