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Finding the Fourth Proportional to 176,065.76, 263,427.96 and 154,837.28

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Solution

The fourth proportional to 176,065.76, 263,427.96 and 154,837.28 is: 231,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,065.76 : 263,427.96 = 154,837.28 : x
  2. Step 2: Convert to fraction form
    176,065.76/263,427.96 = 154,837.28/x
  3. Step 3: Cross multiply
    176,065.76x = 263,427.96 × 154,837.28
  4. Step 4: Simplify right side
    176,065.76x = 40,788,468,802.35
  5. Step 5: Solve for x
    x = 40,788,468,802.35/176,065.76
  6. Step 6: Final answer
    x = 231,666.10

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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.