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Finding the Fourth Proportional to 105,518.04, 145,614.42 and 57,120

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Solution

The fourth proportional to 105,518.04, 145,614.42 and 57,120 is: 78,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,518.04 : 145,614.42 = 57,120 : x
  2. Step 2: Convert to fraction form
    105,518.04/145,614.42 = 57,120/x
  3. Step 3: Cross multiply
    105,518.04x = 145,614.42 × 57,120
  4. Step 4: Simplify right side
    105,518.04x = 8,317,495,670.40
  5. Step 5: Solve for x
    x = 8,317,495,670.40/105,518.04
  6. Step 6: Final answer
    x = 78,825.34

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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.