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Finding the Fourth Proportional to 257,966.80, 386,820.60 and 117,566.80

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Solution

The fourth proportional to 257,966.80, 386,820.60 and 117,566.80 is: 176,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,966.80 : 386,820.60 = 117,566.80 : x
  2. Step 2: Convert to fraction form
    257,966.80/386,820.60 = 117,566.80/x
  3. Step 3: Cross multiply
    257,966.80x = 386,820.60 × 117,566.80
  4. Step 4: Simplify right side
    257,966.80x = 45,477,260,116.08
  5. Step 5: Solve for x
    x = 45,477,260,116.08/257,966.80
  6. Step 6: Final answer
    x = 176,291.14

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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.