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Finding the Fourth Proportional to 186,596.61, 257,502.74 and 106,020.24

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Solution

The fourth proportional to 186,596.61, 257,502.74 and 106,020.24 is: 146,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,596.61 : 257,502.74 = 106,020.24 : x
  2. Step 2: Convert to fraction form
    186,596.61/257,502.74 = 106,020.24/x
  3. Step 3: Cross multiply
    186,596.61x = 257,502.74 × 106,020.24
  4. Step 4: Simplify right side
    186,596.61x = 27,300,501,007.94
  5. Step 5: Solve for x
    x = 27,300,501,007.94/186,596.61
  6. Step 6: Final answer
    x = 146,307.60

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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.