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Finding the Fourth Proportional to 253,341.16, 380,011.36 and 101,606.68

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Solution

The fourth proportional to 253,341.16, 380,011.36 and 101,606.68 is: 152,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,341.16 : 380,011.36 = 101,606.68 : x
  2. Step 2: Convert to fraction form
    253,341.16/380,011.36 = 101,606.68/x
  3. Step 3: Cross multiply
    253,341.16x = 380,011.36 × 101,606.68
  4. Step 4: Simplify right side
    253,341.16x = 38,611,692,651.88
  5. Step 5: Solve for x
    x = 38,611,692,651.88/253,341.16
  6. Step 6: Final answer
    x = 152,409.87

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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.