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Finding the Fourth Proportional to 104,209.48, 143,809.50 and 56,462.68

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Solution

The fourth proportional to 104,209.48, 143,809.50 and 56,462.68 is: 77,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,209.48 : 143,809.50 = 56,462.68 : x
  2. Step 2: Convert to fraction form
    104,209.48/143,809.50 = 56,462.68/x
  3. Step 3: Cross multiply
    104,209.48x = 143,809.50 × 56,462.68
  4. Step 4: Simplify right side
    104,209.48x = 8,119,869,779.46
  5. Step 5: Solve for x
    x = 8,119,869,779.46/104,209.48
  6. Step 6: Final answer
    x = 77,918.72

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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.