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Finding the Fourth Proportional to 186,783.55, 257,760.06 and 106,211.08

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Solution

The fourth proportional to 186,783.55, 257,760.06 and 106,211.08 is: 146,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,783.55 : 257,760.06 = 106,211.08 : x
  2. Step 2: Convert to fraction form
    186,783.55/257,760.06 = 106,211.08/x
  3. Step 3: Cross multiply
    186,783.55x = 257,760.06 × 106,211.08
  4. Step 4: Simplify right side
    186,783.55x = 27,376,974,353.46
  5. Step 5: Solve for x
    x = 27,376,974,353.46/186,783.55
  6. Step 6: Final answer
    x = 146,570.59

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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.