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Finding the Fourth Proportional to 186,838.63, 257,842.77 and 101,961.16

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Solution

The fourth proportional to 186,838.63, 257,842.77 and 101,961.16 is: 140,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,838.63 : 257,842.77 = 101,961.16 : x
  2. Step 2: Convert to fraction form
    186,838.63/257,842.77 = 101,961.16/x
  3. Step 3: Cross multiply
    186,838.63x = 257,842.77 × 101,961.16
  4. Step 4: Simplify right side
    186,838.63x = 26,289,947,926.81
  5. Step 5: Solve for x
    x = 26,289,947,926.81/186,838.63
  6. Step 6: Final answer
    x = 140,709.38

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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.