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Finding the Fourth Proportional to 296,137.95, 408,669.08 and 160,172.07

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Solution

The fourth proportional to 296,137.95, 408,669.08 and 160,172.07 is: 221,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,137.95 : 408,669.08 = 160,172.07 : x
  2. Step 2: Convert to fraction form
    296,137.95/408,669.08 = 160,172.07/x
  3. Step 3: Cross multiply
    296,137.95x = 408,669.08 × 160,172.07
  4. Step 4: Simplify right side
    296,137.95x = 65,457,371,687.74
  5. Step 5: Solve for x
    x = 65,457,371,687.74/296,137.95
  6. Step 6: Final answer
    x = 221,036.76

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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.