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Finding the Fourth Proportional to 105,281.34, 145,284.87 and 57,534.54

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Solution

The fourth proportional to 105,281.34, 145,284.87 and 57,534.54 is: 79,395.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,281.34 : 145,284.87 = 57,534.54 : x
  2. Step 2: Convert to fraction form
    105,281.34/145,284.87 = 57,534.54/x
  3. Step 3: Cross multiply
    105,281.34x = 145,284.87 × 57,534.54
  4. Step 4: Simplify right side
    105,281.34x = 8,358,898,164.41
  5. Step 5: Solve for x
    x = 8,358,898,164.41/105,281.34
  6. Step 6: Final answer
    x = 79,395.82

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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.