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Finding the Fourth Proportional to 183,031.32, 252,583.32 and 102,459.00

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Solution

The fourth proportional to 183,031.32, 252,583.32 and 102,459.00 is: 141,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,031.32 : 252,583.32 = 102,459.00 : x
  2. Step 2: Convert to fraction form
    183,031.32/252,583.32 = 102,459.00/x
  3. Step 3: Cross multiply
    183,031.32x = 252,583.32 × 102,459.00
  4. Step 4: Simplify right side
    183,031.32x = 25,879,433,120.96
  5. Step 5: Solve for x
    x = 25,879,433,120.96/183,031.32
  6. Step 6: Final answer
    x = 141,393.47

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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.