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Finding the Fourth Proportional to 97,483.74, 146,283.87 and 89,552.22

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Solution

The fourth proportional to 97,483.74, 146,283.87 and 89,552.22 is: 134,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.74 : 146,283.87 = 89,552.22 : x
  2. Step 2: Convert to fraction form
    97,483.74/146,283.87 = 89,552.22/x
  3. Step 3: Cross multiply
    97,483.74x = 146,283.87 × 89,552.22
  4. Step 4: Simplify right side
    97,483.74x = 13,100,045,308.69
  5. Step 5: Solve for x
    x = 13,100,045,308.69/97,483.74
  6. Step 6: Final answer
    x = 134,381.85

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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.