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Finding the Fourth Proportional to 105,646.84, 145,796.02 and 57,903.12

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Solution

The fourth proportional to 105,646.84, 145,796.02 and 57,903.12 is: 79,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,646.84 : 145,796.02 = 57,903.12 : x
  2. Step 2: Convert to fraction form
    105,646.84/145,796.02 = 57,903.12/x
  3. Step 3: Cross multiply
    105,646.84x = 145,796.02 × 57,903.12
  4. Step 4: Simplify right side
    105,646.84x = 8,442,044,441.58
  5. Step 5: Solve for x
    x = 8,442,044,441.58/105,646.84
  6. Step 6: Final answer
    x = 79,908.16

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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.