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Finding the Fourth Proportional to 105,088.84, 145,020.66 and 57,340.96

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Solution

The fourth proportional to 105,088.84, 145,020.66 and 57,340.96 is: 79,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,088.84 : 145,020.66 = 57,340.96 : x
  2. Step 2: Convert to fraction form
    105,088.84/145,020.66 = 57,340.96/x
  3. Step 3: Cross multiply
    105,088.84x = 145,020.66 × 57,340.96
  4. Step 4: Simplify right side
    105,088.84x = 8,315,623,864.23
  5. Step 5: Solve for x
    x = 8,315,623,864.23/105,088.84
  6. Step 6: Final answer
    x = 79,129.47

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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.