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Finding the Fourth Proportional to 106,958.60, 160,437.90 and 97,627.40

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Solution

The fourth proportional to 106,958.60, 160,437.90 and 97,627.40 is: 146,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,958.60 : 160,437.90 = 97,627.40 : x
  2. Step 2: Convert to fraction form
    106,958.60/160,437.90 = 97,627.40/x
  3. Step 3: Cross multiply
    106,958.60x = 160,437.90 × 97,627.40
  4. Step 4: Simplify right side
    106,958.60x = 15,663,135,038.46
  5. Step 5: Solve for x
    x = 15,663,135,038.46/106,958.60
  6. Step 6: Final answer
    x = 146,441.10

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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.