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Finding the Fourth Proportional to 107,197.28, 147,941.33 and 59,466

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Solution

The fourth proportional to 107,197.28, 147,941.33 and 59,466 is: 82,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,197.28 : 147,941.33 = 59,466 : x
  2. Step 2: Convert to fraction form
    107,197.28/147,941.33 = 59,466/x
  3. Step 3: Cross multiply
    107,197.28x = 147,941.33 × 59,466
  4. Step 4: Simplify right side
    107,197.28x = 8,797,478,832.45
  5. Step 5: Solve for x
    x = 8,797,478,832.45/107,197.28
  6. Step 6: Final answer
    x = 82,068.12

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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.