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Finding the Fourth Proportional to 186,525.77, 257,405.88 and 101,642.83

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Solution

The fourth proportional to 186,525.77, 257,405.88 and 101,642.83 is: 140,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,525.77 : 257,405.88 = 101,642.83 : x
  2. Step 2: Convert to fraction form
    186,525.77/257,405.88 = 101,642.83/x
  3. Step 3: Cross multiply
    186,525.77x = 257,405.88 × 101,642.83
  4. Step 4: Simplify right side
    186,525.77x = 26,163,461,839.49
  5. Step 5: Solve for x
    x = 26,163,461,839.49/186,525.77
  6. Step 6: Final answer
    x = 140,267.28

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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.