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Finding the Fourth Proportional to 137,695.42, 206,503.50 and 37,858.90

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Solution

The fourth proportional to 137,695.42, 206,503.50 and 37,858.90 is: 56,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,695.42 : 206,503.50 = 37,858.90 : x
  2. Step 2: Convert to fraction form
    137,695.42/206,503.50 = 37,858.90/x
  3. Step 3: Cross multiply
    137,695.42x = 206,503.50 × 37,858.90
  4. Step 4: Simplify right side
    137,695.42x = 7,817,995,356.15
  5. Step 5: Solve for x
    x = 7,817,995,356.15/137,695.42
  6. Step 6: Final answer
    x = 56,777.45

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1.5x scale

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.