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Finding the Fourth Proportional to 186,323.91, 257,114.03 and 105,753.08

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Solution

The fourth proportional to 186,323.91, 257,114.03 and 105,753.08 is: 145,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,323.91 : 257,114.03 = 105,753.08 : x
  2. Step 2: Convert to fraction form
    186,323.91/257,114.03 = 105,753.08/x
  3. Step 3: Cross multiply
    186,323.91x = 257,114.03 × 105,753.08
  4. Step 4: Simplify right side
    186,323.91x = 27,190,598,769.38
  5. Step 5: Solve for x
    x = 27,190,598,769.38/186,323.91
  6. Step 6: Final answer
    x = 145,931.88

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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.