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Finding the Fourth Proportional to 137,464.34, 206,145.94 and 47,484.16

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Solution

The fourth proportional to 137,464.34, 206,145.94 and 47,484.16 is: 71,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,464.34 : 206,145.94 = 47,484.16 : x
  2. Step 2: Convert to fraction form
    137,464.34/206,145.94 = 47,484.16/x
  3. Step 3: Cross multiply
    137,464.34x = 206,145.94 × 47,484.16
  4. Step 4: Simplify right side
    137,464.34x = 9,788,666,041.55
  5. Step 5: Solve for x
    x = 9,788,666,041.55/137,464.34
  6. Step 6: Final answer
    x = 71,208.77

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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.