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Finding the Fourth Proportional to 178,368, 246,186.24 and 106,764

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Solution

The fourth proportional to 178,368, 246,186.24 and 106,764 is: 147,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,368 : 246,186.24 = 106,764 : x
  2. Step 2: Convert to fraction form
    178,368/246,186.24 = 106,764/x
  3. Step 3: Cross multiply
    178,368x = 246,186.24 × 106,764
  4. Step 4: Simplify right side
    178,368x = 26,283,827,727.36
  5. Step 5: Solve for x
    x = 26,283,827,727.36/178,368
  6. Step 6: Final answer
    x = 147,357.30

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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.