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Finding the Fourth Proportional to 103,839.64, 143,298.72 and 56,093.02

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Solution

The fourth proportional to 103,839.64, 143,298.72 and 56,093.02 is: 77,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,839.64 : 143,298.72 = 56,093.02 : x
  2. Step 2: Convert to fraction form
    103,839.64/143,298.72 = 56,093.02/x
  3. Step 3: Cross multiply
    103,839.64x = 143,298.72 × 56,093.02
  4. Step 4: Simplify right side
    103,839.64x = 8,038,057,966.93
  5. Step 5: Solve for x
    x = 8,038,057,966.93/103,839.64
  6. Step 6: Final answer
    x = 77,408.38

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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.