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Finding the Fourth Proportional to 296,124.55, 408,655.17 and 160,161.19

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Solution

The fourth proportional to 296,124.55, 408,655.17 and 160,161.19 is: 221,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,124.55 : 408,655.17 = 160,161.19 : x
  2. Step 2: Convert to fraction form
    296,124.55/408,655.17 = 160,161.19/x
  3. Step 3: Cross multiply
    296,124.55x = 408,655.17 × 160,161.19
  4. Step 4: Simplify right side
    296,124.55x = 65,450,698,326.85
  5. Step 5: Solve for x
    x = 65,450,698,326.85/296,124.55
  6. Step 6: Final answer
    x = 221,024.22

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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.