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Finding the Fourth Proportional to 186,559.59, 257,459.19 and 106,000.76

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Solution

The fourth proportional to 186,559.59, 257,459.19 and 106,000.76 is: 146,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,559.59 : 257,459.19 = 106,000.76 : x
  2. Step 2: Convert to fraction form
    186,559.59/257,459.19 = 106,000.76/x
  3. Step 3: Cross multiply
    186,559.59x = 257,459.19 × 106,000.76
  4. Step 4: Simplify right side
    186,559.59x = 27,290,870,651.38
  5. Step 5: Solve for x
    x = 27,290,870,651.38/186,559.59
  6. Step 6: Final answer
    x = 146,285.00

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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.