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Finding the Fourth Proportional to 117,219.84, 175,827.28 and 28,473.76

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Solution

The fourth proportional to 117,219.84, 175,827.28 and 28,473.76 is: 42,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,219.84 : 175,827.28 = 28,473.76 : x
  2. Step 2: Convert to fraction form
    117,219.84/175,827.28 = 28,473.76/x
  3. Step 3: Cross multiply
    117,219.84x = 175,827.28 × 28,473.76
  4. Step 4: Simplify right side
    117,219.84x = 5,006,463,772.17
  5. Step 5: Solve for x
    x = 5,006,463,772.17/117,219.84
  6. Step 6: Final answer
    x = 42,710.04

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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.