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Finding the Fourth Proportional to 105,267.16, 145,278.84 and 57,527.74

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Solution

The fourth proportional to 105,267.16, 145,278.84 and 57,527.74 is: 79,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,267.16 : 145,278.84 = 57,527.74 : x
  2. Step 2: Convert to fraction form
    105,267.16/145,278.84 = 57,527.74/x
  3. Step 3: Cross multiply
    105,267.16x = 145,278.84 × 57,527.74
  4. Step 4: Simplify right side
    105,267.16x = 8,357,563,335.02
  5. Step 5: Solve for x
    x = 8,357,563,335.02/105,267.16
  6. Step 6: Final answer
    x = 79,393.83

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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.