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Finding the Fourth Proportional to 173,639.10, 260,458.65 and 142,146.30

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Solution

The fourth proportional to 173,639.10, 260,458.65 and 142,146.30 is: 213,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,639.10 : 260,458.65 = 142,146.30 : x
  2. Step 2: Convert to fraction form
    173,639.10/260,458.65 = 142,146.30/x
  3. Step 3: Cross multiply
    173,639.10x = 260,458.65 × 142,146.30
  4. Step 4: Simplify right side
    173,639.10x = 37,023,233,400.50
  5. Step 5: Solve for x
    x = 37,023,233,400.50/173,639.10
  6. Step 6: Final answer
    x = 213,219.45

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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.