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Finding the Fourth Proportional to 237,225.60, 355,969.74 and 97,082.64

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Solution

The fourth proportional to 237,225.60, 355,969.74 and 97,082.64 is: 145,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,225.60 : 355,969.74 = 97,082.64 : x
  2. Step 2: Convert to fraction form
    237,225.60/355,969.74 = 97,082.64/x
  3. Step 3: Cross multiply
    237,225.60x = 355,969.74 × 97,082.64
  4. Step 4: Simplify right side
    237,225.60x = 34,558,482,119.31
  5. Step 5: Solve for x
    x = 34,558,482,119.31/237,225.60
  6. Step 6: Final answer
    x = 145,677.71

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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.