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Finding the Fourth Proportional to 105,089.34, 145,019.40 and 57,341.70

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Solution

The fourth proportional to 105,089.34, 145,019.40 and 57,341.70 is: 79,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,089.34 : 145,019.40 = 57,341.70 : x
  2. Step 2: Convert to fraction form
    105,089.34/145,019.40 = 57,341.70/x
  3. Step 3: Cross multiply
    105,089.34x = 145,019.40 × 57,341.70
  4. Step 4: Simplify right side
    105,089.34x = 8,315,658,928.98
  5. Step 5: Solve for x
    x = 8,315,658,928.98/105,089.34
  6. Step 6: Final answer
    x = 79,129.42

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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.