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Finding the Fourth Proportional to 94,142, 141,271.36 and 54,717.68

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Solution

The fourth proportional to 94,142, 141,271.36 and 54,717.68 is: 82,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,142 : 141,271.36 = 54,717.68 : x
  2. Step 2: Convert to fraction form
    94,142/141,271.36 = 54,717.68/x
  3. Step 3: Cross multiply
    94,142x = 141,271.36 × 54,717.68
  4. Step 4: Simplify right side
    94,142x = 7,730,041,069.64
  5. Step 5: Solve for x
    x = 7,730,041,069.64/94,142
  6. Step 6: Final answer
    x = 82,110.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.