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Finding the Fourth Proportional to 103,433.65, 155,178.16 and 56,037.58

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Solution

The fourth proportional to 103,433.65, 155,178.16 and 56,037.58 is: 84,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,433.65 : 155,178.16 = 56,037.58 : x
  2. Step 2: Convert to fraction form
    103,433.65/155,178.16 = 56,037.58/x
  3. Step 3: Cross multiply
    103,433.65x = 155,178.16 × 56,037.58
  4. Step 4: Simplify right side
    103,433.65x = 8,695,808,027.21
  5. Step 5: Solve for x
    x = 8,695,808,027.21/103,433.65
  6. Step 6: Final answer
    x = 84,071.37

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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.