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Finding the Fourth Proportional to 516,132, 774,263.61 and 142,155

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Solution

The fourth proportional to 516,132, 774,263.61 and 142,155 is: 213,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,132 : 774,263.61 = 142,155 : x
  2. Step 2: Convert to fraction form
    516,132/774,263.61 = 142,155/x
  3. Step 3: Cross multiply
    516,132x = 774,263.61 × 142,155
  4. Step 4: Simplify right side
    516,132x = 110,065,443,479.55
  5. Step 5: Solve for x
    x = 110,065,443,479.55/516,132
  6. Step 6: Final answer
    x = 213,250.57

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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.