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Finding the Fourth Proportional to 113,153.64, 156,154.50 and 65,409

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Solution

The fourth proportional to 113,153.64, 156,154.50 and 65,409 is: 90,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,153.64 : 156,154.50 = 65,409 : x
  2. Step 2: Convert to fraction form
    113,153.64/156,154.50 = 65,409/x
  3. Step 3: Cross multiply
    113,153.64x = 156,154.50 × 65,409
  4. Step 4: Simplify right side
    113,153.64x = 10,213,909,690.50
  5. Step 5: Solve for x
    x = 10,213,909,690.50/113,153.64
  6. Step 6: Final answer
    x = 90,265.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.