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Finding the Fourth Proportional to 114,462.40, 171,693.60 and 97,549.60

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Solution

The fourth proportional to 114,462.40, 171,693.60 and 97,549.60 is: 146,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.40 : 171,693.60 = 97,549.60 : x
  2. Step 2: Convert to fraction form
    114,462.40/171,693.60 = 97,549.60/x
  3. Step 3: Cross multiply
    114,462.40x = 171,693.60 × 97,549.60
  4. Step 4: Simplify right side
    114,462.40x = 16,748,642,002.56
  5. Step 5: Solve for x
    x = 16,748,642,002.56/114,462.40
  6. Step 6: Final answer
    x = 146,324.40

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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.