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Finding the Fourth Proportional to 157,464.60, 236,196.90 and 97,540.80

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Solution

The fourth proportional to 157,464.60, 236,196.90 and 97,540.80 is: 146,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464.60 : 236,196.90 = 97,540.80 : x
  2. Step 2: Convert to fraction form
    157,464.60/236,196.90 = 97,540.80/x
  3. Step 3: Cross multiply
    157,464.60x = 236,196.90 × 97,540.80
  4. Step 4: Simplify right side
    157,464.60x = 23,038,834,583.52
  5. Step 5: Solve for x
    x = 23,038,834,583.52/157,464.60
  6. Step 6: Final answer
    x = 146,311.20

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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.