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Finding the Fourth Proportional to 176,274, 243,258.12 and 96,786

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Solution

The fourth proportional to 176,274, 243,258.12 and 96,786 is: 133,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,274 : 243,258.12 = 96,786 : x
  2. Step 2: Convert to fraction form
    176,274/243,258.12 = 96,786/x
  3. Step 3: Cross multiply
    176,274x = 243,258.12 × 96,786
  4. Step 4: Simplify right side
    176,274x = 23,543,980,402.32
  5. Step 5: Solve for x
    x = 23,543,980,402.32/176,274
  6. Step 6: Final answer
    x = 133,564.68

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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.