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Finding the Fourth Proportional to 176,454, 243,506.52 and 96,966

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Solution

The fourth proportional to 176,454, 243,506.52 and 96,966 is: 133,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,454 : 243,506.52 = 96,966 : x
  2. Step 2: Convert to fraction form
    176,454/243,506.52 = 96,966/x
  3. Step 3: Cross multiply
    176,454x = 243,506.52 × 96,966
  4. Step 4: Simplify right side
    176,454x = 23,611,853,218.32
  5. Step 5: Solve for x
    x = 23,611,853,218.32/176,454
  6. Step 6: Final answer
    x = 133,813.08

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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.