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Finding the Fourth Proportional to 275,829, 380,649.08 and 153,332.88

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Solution

The fourth proportional to 275,829, 380,649.08 and 153,332.88 is: 211,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,829 : 380,649.08 = 153,332.88 : x
  2. Step 2: Convert to fraction form
    275,829/380,649.08 = 153,332.88/x
  3. Step 3: Cross multiply
    275,829x = 380,649.08 × 153,332.88
  4. Step 4: Simplify right side
    275,829x = 58,366,019,705.75
  5. Step 5: Solve for x
    x = 58,366,019,705.75/275,829
  6. Step 6: Final answer
    x = 211,602.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.