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Finding the Fourth Proportional to 105,295.35, 145,307.60 and 57,548.69

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Solution

The fourth proportional to 105,295.35, 145,307.60 and 57,548.69 is: 79,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295.35 : 145,307.60 = 57,548.69 : x
  2. Step 2: Convert to fraction form
    105,295.35/145,307.60 = 57,548.69/x
  3. Step 3: Cross multiply
    105,295.35x = 145,307.60 × 57,548.69
  4. Step 4: Simplify right side
    105,295.35x = 8,362,261,012.76
  5. Step 5: Solve for x
    x = 8,362,261,012.76/105,295.35
  6. Step 6: Final answer
    x = 79,417.19

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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.