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Finding the Fourth Proportional to 186,575.04, 257,480 and 106,005.92

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Solution

The fourth proportional to 186,575.04, 257,480 and 106,005.92 is: 146,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,575.04 : 257,480 = 106,005.92 : x
  2. Step 2: Convert to fraction form
    186,575.04/257,480 = 106,005.92/x
  3. Step 3: Cross multiply
    186,575.04x = 257,480 × 106,005.92
  4. Step 4: Simplify right side
    186,575.04x = 27,294,404,281.60
  5. Step 5: Solve for x
    x = 27,294,404,281.60/186,575.04
  6. Step 6: Final answer
    x = 146,291.83

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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.