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Finding the Fourth Proportional to 189,863.58, 284,838.57 and 101,070.30

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Solution

The fourth proportional to 189,863.58, 284,838.57 and 101,070.30 is: 151,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,863.58 : 284,838.57 = 101,070.30 : x
  2. Step 2: Convert to fraction form
    189,863.58/284,838.57 = 101,070.30/x
  3. Step 3: Cross multiply
    189,863.58x = 284,838.57 × 101,070.30
  4. Step 4: Simplify right side
    189,863.58x = 28,788,719,721.47
  5. Step 5: Solve for x
    x = 28,788,719,721.47/189,863.58
  6. Step 6: Final answer
    x = 151,628.45

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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.