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Finding the Fourth Proportional to 186,505.98, 257,378.30 and 101,623.04

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Solution

The fourth proportional to 186,505.98, 257,378.30 and 101,623.04 is: 140,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,505.98 : 257,378.30 = 101,623.04 : x
  2. Step 2: Convert to fraction form
    186,505.98/257,378.30 = 101,623.04/x
  3. Step 3: Cross multiply
    186,505.98x = 257,378.30 × 101,623.04
  4. Step 4: Simplify right side
    186,505.98x = 26,155,565,276.03
  5. Step 5: Solve for x
    x = 26,155,565,276.03/186,505.98
  6. Step 6: Final answer
    x = 140,239.82

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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.