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Finding the Fourth Proportional to 151,305.50, 208,731.48 and 97,607.82

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Solution

The fourth proportional to 151,305.50, 208,731.48 and 97,607.82 is: 134,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,305.50 : 208,731.48 = 97,607.82 : x
  2. Step 2: Convert to fraction form
    151,305.50/208,731.48 = 97,607.82/x
  3. Step 3: Cross multiply
    151,305.50x = 208,731.48 × 97,607.82
  4. Step 4: Simplify right side
    151,305.50x = 20,373,824,728.17
  5. Step 5: Solve for x
    x = 20,373,824,728.17/151,305.50
  6. Step 6: Final answer
    x = 134,653.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.