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Finding the Fourth Proportional to 432,145.81, 648,218.70 and 116,602.71

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Solution

The fourth proportional to 432,145.81, 648,218.70 and 116,602.71 is: 174,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,145.81 : 648,218.70 = 116,602.71 : x
  2. Step 2: Convert to fraction form
    432,145.81/648,218.70 = 116,602.71/x
  3. Step 3: Cross multiply
    432,145.81x = 648,218.70 × 116,602.71
  4. Step 4: Simplify right side
    432,145.81x = 75,584,057,092.68
  5. Step 5: Solve for x
    x = 75,584,057,092.68/432,145.81
  6. Step 6: Final answer
    x = 174,904.06

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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.