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Finding the Fourth Proportional to 97,852.96, 146,756 and 45,211.92

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Solution

The fourth proportional to 97,852.96, 146,756 and 45,211.92 is: 67,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,852.96 : 146,756 = 45,211.92 : x
  2. Step 2: Convert to fraction form
    97,852.96/146,756 = 45,211.92/x
  3. Step 3: Cross multiply
    97,852.96x = 146,756 × 45,211.92
  4. Step 4: Simplify right side
    97,852.96x = 6,635,120,531.52
  5. Step 5: Solve for x
    x = 6,635,120,531.52/97,852.96
  6. Step 6: Final answer
    x = 67,807.05

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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.