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Finding the Fourth Proportional to 105,654.15, 145,802.06 and 57,910.47

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Solution

The fourth proportional to 105,654.15, 145,802.06 and 57,910.47 is: 79,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654.15 : 145,802.06 = 57,910.47 : x
  2. Step 2: Convert to fraction form
    105,654.15/145,802.06 = 57,910.47/x
  3. Step 3: Cross multiply
    105,654.15x = 145,802.06 × 57,910.47
  4. Step 4: Simplify right side
    105,654.15x = 8,443,465,532.02
  5. Step 5: Solve for x
    x = 8,443,465,532.02/105,654.15
  6. Step 6: Final answer
    x = 79,916.08

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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.