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Finding the Fourth Proportional to 261,751.02, 361,235.07 and 148,581.06

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Solution

The fourth proportional to 261,751.02, 361,235.07 and 148,581.06 is: 205,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,751.02 : 361,235.07 = 148,581.06 : x
  2. Step 2: Convert to fraction form
    261,751.02/361,235.07 = 148,581.06/x
  3. Step 3: Cross multiply
    261,751.02x = 361,235.07 × 148,581.06
  4. Step 4: Simplify right side
    261,751.02x = 53,672,689,609.77
  5. Step 5: Solve for x
    x = 53,672,689,609.77/261,751.02
  6. Step 6: Final answer
    x = 205,052.46

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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.