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Finding the Fourth Proportional to 200,718.48, 301,194.36 and 76,069.20

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Solution

The fourth proportional to 200,718.48, 301,194.36 and 76,069.20 is: 114,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718.48 : 301,194.36 = 76,069.20 : x
  2. Step 2: Convert to fraction form
    200,718.48/301,194.36 = 76,069.20/x
  3. Step 3: Cross multiply
    200,718.48x = 301,194.36 × 76,069.20
  4. Step 4: Simplify right side
    200,718.48x = 22,911,614,009.71
  5. Step 5: Solve for x
    x = 22,911,614,009.71/200,718.48
  6. Step 6: Final answer
    x = 114,148.00

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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.