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Finding the Fourth Proportional to 147,254, 220,883.16 and 36,446

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Solution

The fourth proportional to 147,254, 220,883.16 and 36,446 is: 54,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,254 : 220,883.16 = 36,446 : x
  2. Step 2: Convert to fraction form
    147,254/220,883.16 = 36,446/x
  3. Step 3: Cross multiply
    147,254x = 220,883.16 × 36,446
  4. Step 4: Simplify right side
    147,254x = 8,050,307,649.36
  5. Step 5: Solve for x
    x = 8,050,307,649.36/147,254
  6. Step 6: Final answer
    x = 54,669.53

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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.