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Finding the Fourth Proportional to 105,157.90, 145,095.74 and 66,903.64

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Solution

The fourth proportional to 105,157.90, 145,095.74 and 66,903.64 is: 92,312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,157.90 : 145,095.74 = 66,903.64 : x
  2. Step 2: Convert to fraction form
    105,157.90/145,095.74 = 66,903.64/x
  3. Step 3: Cross multiply
    105,157.90x = 145,095.74 × 66,903.64
  4. Step 4: Simplify right side
    105,157.90x = 9,707,433,154.49
  5. Step 5: Solve for x
    x = 9,707,433,154.49/105,157.90
  6. Step 6: Final answer
    x = 92,312.92

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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.