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Finding the Fourth Proportional to 164,859.72, 227,521.53 and 103,615.87

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Solution

The fourth proportional to 164,859.72, 227,521.53 and 103,615.87 is: 142,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,859.72 : 227,521.53 = 103,615.87 : x
  2. Step 2: Convert to fraction form
    164,859.72/227,521.53 = 103,615.87/x
  3. Step 3: Cross multiply
    164,859.72x = 227,521.53 × 103,615.87
  4. Step 4: Simplify right side
    164,859.72x = 23,574,841,274.68
  5. Step 5: Solve for x
    x = 23,574,841,274.68/164,859.72
  6. Step 6: Final answer
    x = 142,999.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.