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Finding the Fourth Proportional to 105,140.34, 145,088.13 and 57,384.42

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Solution

The fourth proportional to 105,140.34, 145,088.13 and 57,384.42 is: 79,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,140.34 : 145,088.13 = 57,384.42 : x
  2. Step 2: Convert to fraction form
    105,140.34/145,088.13 = 57,384.42/x
  3. Step 3: Cross multiply
    105,140.34x = 145,088.13 × 57,384.42
  4. Step 4: Simplify right side
    105,140.34x = 8,325,798,188.93
  5. Step 5: Solve for x
    x = 8,325,798,188.93/105,140.34
  6. Step 6: Final answer
    x = 79,187.48

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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.