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Finding the Fourth Proportional to 186,465.84, 257,321.52 and 101,582.88

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Solution

The fourth proportional to 186,465.84, 257,321.52 and 101,582.88 is: 140,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,465.84 : 257,321.52 = 101,582.88 : x
  2. Step 2: Convert to fraction form
    186,465.84/257,321.52 = 101,582.88/x
  3. Step 3: Cross multiply
    186,465.84x = 257,321.52 × 101,582.88
  4. Step 4: Simplify right side
    186,465.84x = 26,139,461,087.58
  5. Step 5: Solve for x
    x = 26,139,461,087.58/186,465.84
  6. Step 6: Final answer
    x = 140,183.64

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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.