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Finding the Fourth Proportional to 114,416.10, 171,624.15 and 65,264.10

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Solution

The fourth proportional to 114,416.10, 171,624.15 and 65,264.10 is: 97,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,416.10 : 171,624.15 = 65,264.10 : x
  2. Step 2: Convert to fraction form
    114,416.10/171,624.15 = 65,264.10/x
  3. Step 3: Cross multiply
    114,416.10x = 171,624.15 × 65,264.10
  4. Step 4: Simplify right side
    114,416.10x = 11,200,895,688.02
  5. Step 5: Solve for x
    x = 11,200,895,688.02/114,416.10
  6. Step 6: Final answer
    x = 97,896.15

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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.