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Finding the Fourth Proportional to 186,448.32, 257,297.36 and 101,565.38

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Solution

The fourth proportional to 186,448.32, 257,297.36 and 101,565.38 is: 140,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,448.32 : 257,297.36 = 101,565.38 : x
  2. Step 2: Convert to fraction form
    186,448.32/257,297.36 = 101,565.38/x
  3. Step 3: Cross multiply
    186,448.32x = 257,297.36 × 101,565.38
  4. Step 4: Simplify right side
    186,448.32x = 26,132,504,141.40
  5. Step 5: Solve for x
    x = 26,132,504,141.40/186,448.32
  6. Step 6: Final answer
    x = 140,159.50

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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.