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Finding the Fourth Proportional to 77,956.34, 116,905.20 and 61,510.10

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Solution

The fourth proportional to 77,956.34, 116,905.20 and 61,510.10 is: 92,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,956.34 : 116,905.20 = 61,510.10 : x
  2. Step 2: Convert to fraction form
    77,956.34/116,905.20 = 61,510.10/x
  3. Step 3: Cross multiply
    77,956.34x = 116,905.20 × 61,510.10
  4. Step 4: Simplify right side
    77,956.34x = 7,190,850,542.52
  5. Step 5: Solve for x
    x = 7,190,850,542.52/77,956.34
  6. Step 6: Final answer
    x = 92,242.02

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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.