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Finding the Fourth Proportional to 137,276.64, 205,912.32 and 37,435.20

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Solution

The fourth proportional to 137,276.64, 205,912.32 and 37,435.20 is: 56,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,276.64 : 205,912.32 = 37,435.20 : x
  2. Step 2: Convert to fraction form
    137,276.64/205,912.32 = 37,435.20/x
  3. Step 3: Cross multiply
    137,276.64x = 205,912.32 × 37,435.20
  4. Step 4: Simplify right side
    137,276.64x = 7,708,368,881.66
  5. Step 5: Solve for x
    x = 7,708,368,881.66/137,276.64
  6. Step 6: Final answer
    x = 56,152.08

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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.