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Finding the Fourth Proportional to 186,595.66, 257,492.29 and 106,012

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Solution

The fourth proportional to 186,595.66, 257,492.29 and 106,012 is: 146,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,595.66 : 257,492.29 = 106,012 : x
  2. Step 2: Convert to fraction form
    186,595.66/257,492.29 = 106,012/x
  3. Step 3: Cross multiply
    186,595.66x = 257,492.29 × 106,012
  4. Step 4: Simplify right side
    186,595.66x = 27,297,272,647.48
  5. Step 5: Solve for x
    x = 27,297,272,647.48/186,595.66
  6. Step 6: Final answer
    x = 146,291.04

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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.