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Finding the Fourth Proportional to 209,372.46, 314,054.64 and 59,613.72

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Solution

The fourth proportional to 209,372.46, 314,054.64 and 59,613.72 is: 89,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,372.46 : 314,054.64 = 59,613.72 : x
  2. Step 2: Convert to fraction form
    209,372.46/314,054.64 = 59,613.72/x
  3. Step 3: Cross multiply
    209,372.46x = 314,054.64 × 59,613.72
  4. Step 4: Simplify right side
    209,372.46x = 18,721,965,373.66
  5. Step 5: Solve for x
    x = 18,721,965,373.66/209,372.46
  6. Step 6: Final answer
    x = 89,419.43

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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.