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Finding the Fourth Proportional to 137,094.46, 205,566.32 and 42,298.77

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Solution

The fourth proportional to 137,094.46, 205,566.32 and 42,298.77 is: 63,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,094.46 : 205,566.32 = 42,298.77 : x
  2. Step 2: Convert to fraction form
    137,094.46/205,566.32 = 42,298.77/x
  3. Step 3: Cross multiply
    137,094.46x = 205,566.32 × 42,298.77
  4. Step 4: Simplify right side
    137,094.46x = 8,695,203,366.05
  5. Step 5: Solve for x
    x = 8,695,203,366.05/137,094.46
  6. Step 6: Final answer
    x = 63,424.91

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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.