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Finding the Fourth Proportional to 186,595.65, 257,502.44 and 106,049.93

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Solution

The fourth proportional to 186,595.65, 257,502.44 and 106,049.93 is: 146,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,595.65 : 257,502.44 = 106,049.93 : x
  2. Step 2: Convert to fraction form
    186,595.65/257,502.44 = 106,049.93/x
  3. Step 3: Cross multiply
    186,595.65x = 257,502.44 × 106,049.93
  4. Step 4: Simplify right side
    186,595.65x = 27,308,114,714.44
  5. Step 5: Solve for x
    x = 27,308,114,714.44/186,595.65
  6. Step 6: Final answer
    x = 146,349.15

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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.