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Finding the Fourth Proportional to 105,315.40, 145,332.66 and 57,568.96

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Solution

The fourth proportional to 105,315.40, 145,332.66 and 57,568.96 is: 79,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,315.40 : 145,332.66 = 57,568.96 : x
  2. Step 2: Convert to fraction form
    105,315.40/145,332.66 = 57,568.96/x
  3. Step 3: Cross multiply
    105,315.40x = 145,332.66 × 57,568.96
  4. Step 4: Simplify right side
    105,315.40x = 8,366,650,090.23
  5. Step 5: Solve for x
    x = 8,366,650,090.23/105,315.40
  6. Step 6: Final answer
    x = 79,443.75

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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.