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Finding the Fourth Proportional to 114,424.30, 171,636.45 and 97,144.30

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Solution

The fourth proportional to 114,424.30, 171,636.45 and 97,144.30 is: 145,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,424.30 : 171,636.45 = 97,144.30 : x
  2. Step 2: Convert to fraction form
    114,424.30/171,636.45 = 97,144.30/x
  3. Step 3: Cross multiply
    114,424.30x = 171,636.45 × 97,144.30
  4. Step 4: Simplify right side
    114,424.30x = 16,673,502,789.74
  5. Step 5: Solve for x
    x = 16,673,502,789.74/114,424.30
  6. Step 6: Final answer
    x = 145,716.45

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1.5x scale

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.