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Finding the Fourth Proportional to 177,564.80, 265,828.80 and 158,902.40

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Solution

The fourth proportional to 177,564.80, 265,828.80 and 158,902.40 is: 237,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,564.80 : 265,828.80 = 158,902.40 : x
  2. Step 2: Convert to fraction form
    177,564.80/265,828.80 = 158,902.40/x
  3. Step 3: Cross multiply
    177,564.80x = 265,828.80 × 158,902.40
  4. Step 4: Simplify right side
    177,564.80x = 42,240,834,309.12
  5. Step 5: Solve for x
    x = 42,240,834,309.12/177,564.80
  6. Step 6: Final answer
    x = 237,889.68

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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.