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Finding the Fourth Proportional to 186,340.50, 257,148.81 and 105,783.30

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Solution

The fourth proportional to 186,340.50, 257,148.81 and 105,783.30 is: 145,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,340.50 : 257,148.81 = 105,783.30 : x
  2. Step 2: Convert to fraction form
    186,340.50/257,148.81 = 105,783.30/x
  3. Step 3: Cross multiply
    186,340.50x = 257,148.81 × 105,783.30
  4. Step 4: Simplify right side
    186,340.50x = 27,202,049,712.87
  5. Step 5: Solve for x
    x = 27,202,049,712.87/186,340.50
  6. Step 6: Final answer
    x = 145,980.34

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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.