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Finding the Fourth Proportional to 152,308, 228,472.98 and 47,113.48

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Solution

The fourth proportional to 152,308, 228,472.98 and 47,113.48 is: 70,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,308 : 228,472.98 = 47,113.48 : x
  2. Step 2: Convert to fraction form
    152,308/228,472.98 = 47,113.48/x
  3. Step 3: Cross multiply
    152,308x = 228,472.98 × 47,113.48
  4. Step 4: Simplify right side
    152,308x = 10,764,157,173.77
  5. Step 5: Solve for x
    x = 10,764,157,173.77/152,308
  6. Step 6: Final answer
    x = 70,673.62

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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.