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Finding the Fourth Proportional to 381,210.70, 571,820.14 and 114,973.52

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Solution

The fourth proportional to 381,210.70, 571,820.14 and 114,973.52 is: 172,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,210.70 : 571,820.14 = 114,973.52 : x
  2. Step 2: Convert to fraction form
    381,210.70/571,820.14 = 114,973.52/x
  3. Step 3: Cross multiply
    381,210.70x = 571,820.14 × 114,973.52
  4. Step 4: Simplify right side
    381,210.70x = 65,744,173,518.92
  5. Step 5: Solve for x
    x = 65,744,173,518.92/381,210.70
  6. Step 6: Final answer
    x = 172,461.51

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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.