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Finding the Fourth Proportional to 105,224.40, 145,213.20 and 57,482.19

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Solution

The fourth proportional to 105,224.40, 145,213.20 and 57,482.19 is: 79,327.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,224.40 : 145,213.20 = 57,482.19 : x
  2. Step 2: Convert to fraction form
    105,224.40/145,213.20 = 57,482.19/x
  3. Step 3: Cross multiply
    105,224.40x = 145,213.20 × 57,482.19
  4. Step 4: Simplify right side
    105,224.40x = 8,347,172,752.91
  5. Step 5: Solve for x
    x = 8,347,172,752.91/105,224.40
  6. Step 6: Final answer
    x = 79,327.35

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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.