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Finding the Fourth Proportional to 186,902.32, 257,925.12 and 102,019.42

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Solution

The fourth proportional to 186,902.32, 257,925.12 and 102,019.42 is: 140,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,902.32 : 257,925.12 = 102,019.42 : x
  2. Step 2: Convert to fraction form
    186,902.32/257,925.12 = 102,019.42/x
  3. Step 3: Cross multiply
    186,902.32x = 257,925.12 × 102,019.42
  4. Step 4: Simplify right side
    186,902.32x = 26,313,371,145.83
  5. Step 5: Solve for x
    x = 26,313,371,145.83/186,902.32
  6. Step 6: Final answer
    x = 140,786.76

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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.