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Finding the Fourth Proportional to 173,857.60, 260,824.20 and 99,013.60

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Solution

The fourth proportional to 173,857.60, 260,824.20 and 99,013.60 is: 148,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,857.60 : 260,824.20 = 99,013.60 : x
  2. Step 2: Convert to fraction form
    173,857.60/260,824.20 = 99,013.60/x
  3. Step 3: Cross multiply
    173,857.60x = 260,824.20 × 99,013.60
  4. Step 4: Simplify right side
    173,857.60x = 25,825,143,009.12
  5. Step 5: Solve for x
    x = 25,825,143,009.12/173,857.60
  6. Step 6: Final answer
    x = 148,541.93

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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.