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Finding the Fourth Proportional to 189,500.16, 284,155.16 and 63,095.88

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Solution

The fourth proportional to 189,500.16, 284,155.16 and 63,095.88 is: 94,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,500.16 : 284,155.16 = 63,095.88 : x
  2. Step 2: Convert to fraction form
    189,500.16/284,155.16 = 63,095.88/x
  3. Step 3: Cross multiply
    189,500.16x = 284,155.16 × 63,095.88
  4. Step 4: Simplify right side
    189,500.16x = 17,929,019,561.26
  5. Step 5: Solve for x
    x = 17,929,019,561.26/189,500.16
  6. Step 6: Final answer
    x = 94,612.16

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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.