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Finding the Fourth Proportional to 186,598.98, 257,497.29 and 106,015.86

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Solution

The fourth proportional to 186,598.98, 257,497.29 and 106,015.86 is: 146,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,598.98 : 257,497.29 = 106,015.86 : x
  2. Step 2: Convert to fraction form
    186,598.98/257,497.29 = 106,015.86/x
  3. Step 3: Cross multiply
    186,598.98x = 257,497.29 × 106,015.86
  4. Step 4: Simplify right side
    186,598.98x = 27,298,796,647.02
  5. Step 5: Solve for x
    x = 27,298,796,647.02/186,598.98
  6. Step 6: Final answer
    x = 146,296.60

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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.