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Finding the Fourth Proportional to 177,176, 265,888.53 and 160,236.31

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Solution

The fourth proportional to 177,176, 265,888.53 and 160,236.31 is: 240,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,176 : 265,888.53 = 160,236.31 : x
  2. Step 2: Convert to fraction form
    177,176/265,888.53 = 160,236.31/x
  3. Step 3: Cross multiply
    177,176x = 265,888.53 × 160,236.31
  4. Step 4: Simplify right side
    177,176x = 42,604,996,918.52
  5. Step 5: Solve for x
    x = 42,604,996,918.52/177,176
  6. Step 6: Final answer
    x = 240,467.09

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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.