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Finding the Fourth Proportional to 103,894.12, 143,373.90 and 56,147.38

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Solution

The fourth proportional to 103,894.12, 143,373.90 and 56,147.38 is: 77,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,894.12 : 143,373.90 = 56,147.38 : x
  2. Step 2: Convert to fraction form
    103,894.12/143,373.90 = 56,147.38/x
  3. Step 3: Cross multiply
    103,894.12x = 143,373.90 × 56,147.38
  4. Step 4: Simplify right side
    103,894.12x = 8,050,068,845.38
  5. Step 5: Solve for x
    x = 8,050,068,845.38/103,894.12
  6. Step 6: Final answer
    x = 77,483.39

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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.