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Finding the Fourth Proportional to 176,763.84, 265,145.76 and 102,840

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Solution

The fourth proportional to 176,763.84, 265,145.76 and 102,840 is: 154,260

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,763.84 : 265,145.76 = 102,840 : x
  2. Step 2: Convert to fraction form
    176,763.84/265,145.76 = 102,840/x
  3. Step 3: Cross multiply
    176,763.84x = 265,145.76 × 102,840
  4. Step 4: Simplify right side
    176,763.84x = 27,267,589,958.40
  5. Step 5: Solve for x
    x = 27,267,589,958.40/176,763.84
  6. Step 6: Final answer
    x = 154,260

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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.