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Finding the Fourth Proportional to 186,857.64, 257,869.02 and 101,980.14

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Solution

The fourth proportional to 186,857.64, 257,869.02 and 101,980.14 is: 140,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,857.64 : 257,869.02 = 101,980.14 : x
  2. Step 2: Convert to fraction form
    186,857.64/257,869.02 = 101,980.14/x
  3. Step 3: Cross multiply
    186,857.64x = 257,869.02 × 101,980.14
  4. Step 4: Simplify right side
    186,857.64x = 26,297,518,761.26
  5. Step 5: Solve for x
    x = 26,297,518,761.26/186,857.64
  6. Step 6: Final answer
    x = 140,735.58

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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.