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Finding the Fourth Proportional to 177,849.60, 245,465.28 and 114,266.88

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Solution

The fourth proportional to 177,849.60, 245,465.28 and 114,266.88 is: 157,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,849.60 : 245,465.28 = 114,266.88 : x
  2. Step 2: Convert to fraction form
    177,849.60/245,465.28 = 114,266.88/x
  3. Step 3: Cross multiply
    177,849.60x = 245,465.28 × 114,266.88
  4. Step 4: Simplify right side
    177,849.60x = 28,048,551,693.93
  5. Step 5: Solve for x
    x = 28,048,551,693.93/177,849.60
  6. Step 6: Final answer
    x = 157,709.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.