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Finding the Fourth Proportional to 209,396.84, 314,091.18 and 59,638.10

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Solution

The fourth proportional to 209,396.84, 314,091.18 and 59,638.10 is: 89,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,396.84 : 314,091.18 = 59,638.10 : x
  2. Step 2: Convert to fraction form
    209,396.84/314,091.18 = 59,638.10/x
  3. Step 3: Cross multiply
    209,396.84x = 314,091.18 × 59,638.10
  4. Step 4: Simplify right side
    209,396.84x = 18,731,799,631.50
  5. Step 5: Solve for x
    x = 18,731,799,631.50/209,396.84
  6. Step 6: Final answer
    x = 89,455.98

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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.