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Finding the Fourth Proportional to 186,384.59, 257,201.97 and 105,801.47

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Solution

The fourth proportional to 186,384.59, 257,201.97 and 105,801.47 is: 146,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384.59 : 257,201.97 = 105,801.47 : x
  2. Step 2: Convert to fraction form
    186,384.59/257,201.97 = 105,801.47/x
  3. Step 3: Cross multiply
    186,384.59x = 257,201.97 × 105,801.47
  4. Step 4: Simplify right side
    186,384.59x = 27,212,346,512.90
  5. Step 5: Solve for x
    x = 27,212,346,512.90/186,384.59
  6. Step 6: Final answer
    x = 146,001.05

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1.5x scale

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.