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Finding the Fourth Proportional to 177,381.92, 266,208.24 and 65,168.48

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Solution

The fourth proportional to 177,381.92, 266,208.24 and 65,168.48 is: 97,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,381.92 : 266,208.24 = 65,168.48 : x
  2. Step 2: Convert to fraction form
    177,381.92/266,208.24 = 65,168.48/x
  3. Step 3: Cross multiply
    177,381.92x = 266,208.24 × 65,168.48
  4. Step 4: Simplify right side
    177,381.92x = 17,348,386,364.28
  5. Step 5: Solve for x
    x = 17,348,386,364.28/177,381.92
  6. Step 6: Final answer
    x = 97,802.45

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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.