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Finding the Fourth Proportional to 187,457.34, 258,697.53 and 102,574.38

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Solution

The fourth proportional to 187,457.34, 258,697.53 and 102,574.38 is: 141,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,457.34 : 258,697.53 = 102,574.38 : x
  2. Step 2: Convert to fraction form
    187,457.34/258,697.53 = 102,574.38/x
  3. Step 3: Cross multiply
    187,457.34x = 258,697.53 × 102,574.38
  4. Step 4: Simplify right side
    187,457.34x = 26,535,738,747.28
  5. Step 5: Solve for x
    x = 26,535,738,747.28/187,457.34
  6. Step 6: Final answer
    x = 141,556.15

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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.