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Finding the Fourth Proportional to 205,985.10, 308,977.65 and 65,748.30

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Solution

The fourth proportional to 205,985.10, 308,977.65 and 65,748.30 is: 98,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,985.10 : 308,977.65 = 65,748.30 : x
  2. Step 2: Convert to fraction form
    205,985.10/308,977.65 = 65,748.30/x
  3. Step 3: Cross multiply
    205,985.10x = 308,977.65 × 65,748.30
  4. Step 4: Simplify right side
    205,985.10x = 20,314,755,225.50
  5. Step 5: Solve for x
    x = 20,314,755,225.50/205,985.10
  6. Step 6: Final answer
    x = 98,622.45

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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.