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Finding the Fourth Proportional to 209,893.95, 314,748.05 and 60,100.11

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Solution

The fourth proportional to 209,893.95, 314,748.05 and 60,100.11 is: 90,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,893.95 : 314,748.05 = 60,100.11 : x
  2. Step 2: Convert to fraction form
    209,893.95/314,748.05 = 60,100.11/x
  3. Step 3: Cross multiply
    209,893.95x = 314,748.05 × 60,100.11
  4. Step 4: Simplify right side
    209,893.95x = 18,916,392,126.79
  5. Step 5: Solve for x
    x = 18,916,392,126.79/209,893.95
  6. Step 6: Final answer
    x = 90,123.57

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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.