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Finding the Fourth Proportional to 97,231.30, 145,846.95 and 88,920.70

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Solution

The fourth proportional to 97,231.30, 145,846.95 and 88,920.70 is: 133,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,231.30 : 145,846.95 = 88,920.70 : x
  2. Step 2: Convert to fraction form
    97,231.30/145,846.95 = 88,920.70/x
  3. Step 3: Cross multiply
    97,231.30x = 145,846.95 × 88,920.70
  4. Step 4: Simplify right side
    97,231.30x = 12,968,812,886.87
  5. Step 5: Solve for x
    x = 12,968,812,886.87/97,231.30
  6. Step 6: Final answer
    x = 133,381.05

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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.