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Finding the Fourth Proportional to 209,643.53, 314,514.09 and 59,885.87

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Solution

The fourth proportional to 209,643.53, 314,514.09 and 59,885.87 is: 89,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.53 : 314,514.09 = 59,885.87 : x
  2. Step 2: Convert to fraction form
    209,643.53/314,514.09 = 59,885.87/x
  3. Step 3: Cross multiply
    209,643.53x = 314,514.09 × 59,885.87
  4. Step 4: Simplify right side
    209,643.53x = 18,834,948,334.34
  5. Step 5: Solve for x
    x = 18,834,948,334.34/209,643.53
  6. Step 6: Final answer
    x = 89,842.74

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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.