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Finding the Fourth Proportional to 177,048.64, 265,564.32 and 66,232

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Solution

The fourth proportional to 177,048.64, 265,564.32 and 66,232 is: 99,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,048.64 : 265,564.32 = 66,232 : x
  2. Step 2: Convert to fraction form
    177,048.64/265,564.32 = 66,232/x
  3. Step 3: Cross multiply
    177,048.64x = 265,564.32 × 66,232
  4. Step 4: Simplify right side
    177,048.64x = 17,588,856,042.24
  5. Step 5: Solve for x
    x = 17,588,856,042.24/177,048.64
  6. Step 6: Final answer
    x = 99,344.77

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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.