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Finding the Fourth Proportional to 186,799.60, 257,783.88 and 106,225.12

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Solution

The fourth proportional to 186,799.60, 257,783.88 and 106,225.12 is: 146,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,799.60 : 257,783.88 = 106,225.12 : x
  2. Step 2: Convert to fraction form
    186,799.60/257,783.88 = 106,225.12/x
  3. Step 3: Cross multiply
    186,799.60x = 257,783.88 × 106,225.12
  4. Step 4: Simplify right side
    186,799.60x = 27,383,123,587.07
  5. Step 5: Solve for x
    x = 27,383,123,587.07/186,799.60
  6. Step 6: Final answer
    x = 146,590.91

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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.