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Finding the Fourth Proportional to 186,316.47, 280,730.09 and 153,765.63

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Solution

The fourth proportional to 186,316.47, 280,730.09 and 153,765.63 is: 231,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,316.47 : 280,730.09 = 153,765.63 : x
  2. Step 2: Convert to fraction form
    186,316.47/280,730.09 = 153,765.63/x
  3. Step 3: Cross multiply
    186,316.47x = 280,730.09 × 153,765.63
  4. Step 4: Simplify right side
    186,316.47x = 43,166,639,533.22
  5. Step 5: Solve for x
    x = 43,166,639,533.22/186,316.47
  6. Step 6: Final answer
    x = 231,684.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.