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Finding the Fourth Proportional to 186,779.16, 257,754 and 106,206.66

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Solution

The fourth proportional to 186,779.16, 257,754 and 106,206.66 is: 146,564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,779.16 : 257,754 = 106,206.66 : x
  2. Step 2: Convert to fraction form
    186,779.16/257,754 = 106,206.66/x
  3. Step 3: Cross multiply
    186,779.16x = 257,754 × 106,206.66
  4. Step 4: Simplify right side
    186,779.16x = 27,375,191,441.64
  5. Step 5: Solve for x
    x = 27,375,191,441.64/186,779.16
  6. Step 6: Final answer
    x = 146,564.49

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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.