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Finding the Fourth Proportional to 137,106.32, 205,531.32 and 48,310.16

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Solution

The fourth proportional to 137,106.32, 205,531.32 and 48,310.16 is: 72,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,106.32 : 205,531.32 = 48,310.16 : x
  2. Step 2: Convert to fraction form
    137,106.32/205,531.32 = 48,310.16/x
  3. Step 3: Cross multiply
    137,106.32x = 205,531.32 × 48,310.16
  4. Step 4: Simplify right side
    137,106.32x = 9,929,250,954.21
  5. Step 5: Solve for x
    x = 9,929,250,954.21/137,106.32
  6. Step 6: Final answer
    x = 72,420.08

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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.