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Finding the Fourth Proportional to 186,507, 257,379.66 and 101,624.09

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Solution

The fourth proportional to 186,507, 257,379.66 and 101,624.09 is: 140,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,507 : 257,379.66 = 101,624.09 : x
  2. Step 2: Convert to fraction form
    186,507/257,379.66 = 101,624.09/x
  3. Step 3: Cross multiply
    186,507x = 257,379.66 × 101,624.09
  4. Step 4: Simplify right side
    186,507x = 26,155,972,445.11
  5. Step 5: Solve for x
    x = 26,155,972,445.11/186,507
  6. Step 6: Final answer
    x = 140,241.24

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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.