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Finding the Fourth Proportional to 176,400, 243,447.36 and 96,927.36

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Solution

The fourth proportional to 176,400, 243,447.36 and 96,927.36 is: 133,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,400 : 243,447.36 = 96,927.36 : x
  2. Step 2: Convert to fraction form
    176,400/243,447.36 = 96,927.36/x
  3. Step 3: Cross multiply
    176,400x = 243,447.36 × 96,927.36
  4. Step 4: Simplify right side
    176,400x = 23,596,709,903.77
  5. Step 5: Solve for x
    x = 23,596,709,903.77/176,400
  6. Step 6: Final answer
    x = 133,768.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.