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Finding the Fourth Proportional to 105,430.60, 145,491.96 and 57,683.80

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Solution

The fourth proportional to 105,430.60, 145,491.96 and 57,683.80 is: 79,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.60 : 145,491.96 = 57,683.80 : x
  2. Step 2: Convert to fraction form
    105,430.60/145,491.96 = 57,683.80/x
  3. Step 3: Cross multiply
    105,430.60x = 145,491.96 × 57,683.80
  4. Step 4: Simplify right side
    105,430.60x = 8,392,529,122.25
  5. Step 5: Solve for x
    x = 8,392,529,122.25/105,430.60
  6. Step 6: Final answer
    x = 79,602.40

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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.