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Finding the Fourth Proportional to 176,678.82, 265,047.79 and 138,726.56

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Solution

The fourth proportional to 176,678.82, 265,047.79 and 138,726.56 is: 208,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,678.82 : 265,047.79 = 138,726.56 : x
  2. Step 2: Convert to fraction form
    176,678.82/265,047.79 = 138,726.56/x
  3. Step 3: Cross multiply
    176,678.82x = 265,047.79 × 138,726.56
  4. Step 4: Simplify right side
    176,678.82x = 36,769,168,913.30
  5. Step 5: Solve for x
    x = 36,769,168,913.30/176,678.82
  6. Step 6: Final answer
    x = 208,113.05

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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.