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Finding the Fourth Proportional to 281,870.40, 388,999.14 and 186,209.40

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Solution

The fourth proportional to 281,870.40, 388,999.14 and 186,209.40 is: 256,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,870.40 : 388,999.14 = 186,209.40 : x
  2. Step 2: Convert to fraction form
    281,870.40/388,999.14 = 186,209.40/x
  3. Step 3: Cross multiply
    281,870.40x = 388,999.14 × 186,209.40
  4. Step 4: Simplify right side
    281,870.40x = 72,435,296,459.92
  5. Step 5: Solve for x
    x = 72,435,296,459.92/281,870.40
  6. Step 6: Final answer
    x = 256,980.86

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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.