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Finding the Fourth Proportional to 137,202.48, 205,803.72 and 90,444.42

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Solution

The fourth proportional to 137,202.48, 205,803.72 and 90,444.42 is: 135,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,202.48 : 205,803.72 = 90,444.42 : x
  2. Step 2: Convert to fraction form
    137,202.48/205,803.72 = 90,444.42/x
  3. Step 3: Cross multiply
    137,202.48x = 205,803.72 × 90,444.42
  4. Step 4: Simplify right side
    137,202.48x = 18,613,798,089.24
  5. Step 5: Solve for x
    x = 18,613,798,089.24/137,202.48
  6. Step 6: Final answer
    x = 135,666.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.