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Finding the Fourth Proportional to 186,277.92, 278,064.48 and 172,400.64

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Solution

The fourth proportional to 186,277.92, 278,064.48 and 172,400.64 is: 257,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,277.92 : 278,064.48 = 172,400.64 : x
  2. Step 2: Convert to fraction form
    186,277.92/278,064.48 = 172,400.64/x
  3. Step 3: Cross multiply
    186,277.92x = 278,064.48 × 172,400.64
  4. Step 4: Simplify right side
    186,277.92x = 47,938,494,313.27
  5. Step 5: Solve for x
    x = 47,938,494,313.27/186,277.92
  6. Step 6: Final answer
    x = 257,349.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.