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Finding the Fourth Proportional to 107,104.98, 160,482.18 and 64,857.06

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Solution

The fourth proportional to 107,104.98, 160,482.18 and 64,857.06 is: 97,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,104.98 : 160,482.18 = 64,857.06 : x
  2. Step 2: Convert to fraction form
    107,104.98/160,482.18 = 64,857.06/x
  3. Step 3: Cross multiply
    107,104.98x = 160,482.18 × 64,857.06
  4. Step 4: Simplify right side
    107,104.98x = 10,408,402,377.19
  5. Step 5: Solve for x
    x = 10,408,402,377.19/107,104.98
  6. Step 6: Final answer
    x = 97,179.44

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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.