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Finding the Fourth Proportional to 456,176.70, 684,265.05 and 119,216.70

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Solution

The fourth proportional to 456,176.70, 684,265.05 and 119,216.70 is: 178,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,176.70 : 684,265.05 = 119,216.70 : x
  2. Step 2: Convert to fraction form
    456,176.70/684,265.05 = 119,216.70/x
  3. Step 3: Cross multiply
    456,176.70x = 684,265.05 × 119,216.70
  4. Step 4: Simplify right side
    456,176.70x = 81,575,821,186.34
  5. Step 5: Solve for x
    x = 81,575,821,186.34/456,176.70
  6. Step 6: Final answer
    x = 178,825.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.