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Finding the Fourth Proportional to 186,378.90, 257,206.98 and 101,495.98

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Solution

The fourth proportional to 186,378.90, 257,206.98 and 101,495.98 is: 140,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,378.90 : 257,206.98 = 101,495.98 : x
  2. Step 2: Convert to fraction form
    186,378.90/257,206.98 = 101,495.98/x
  3. Step 3: Cross multiply
    186,378.90x = 257,206.98 × 101,495.98
  4. Step 4: Simplify right side
    186,378.90x = 26,105,474,497.94
  5. Step 5: Solve for x
    x = 26,105,474,497.94/186,378.90
  6. Step 6: Final answer
    x = 140,066.68

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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.