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Finding the Fourth Proportional to 178,187.51, 245,898.75 and 106,567.53

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Solution

The fourth proportional to 178,187.51, 245,898.75 and 106,567.53 is: 147,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,187.51 : 245,898.75 = 106,567.53 : x
  2. Step 2: Convert to fraction form
    178,187.51/245,898.75 = 106,567.53/x
  3. Step 3: Cross multiply
    178,187.51x = 245,898.75 × 106,567.53
  4. Step 4: Simplify right side
    178,187.51x = 26,204,823,278.28
  5. Step 5: Solve for x
    x = 26,204,823,278.28/178,187.51
  6. Step 6: Final answer
    x = 147,063.19

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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.