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Finding the Fourth Proportional to 114,693.77, 172,145.72 and 61,445.86

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Solution

The fourth proportional to 114,693.77, 172,145.72 and 61,445.86 is: 92,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,693.77 : 172,145.72 = 61,445.86 : x
  2. Step 2: Convert to fraction form
    114,693.77/172,145.72 = 61,445.86/x
  3. Step 3: Cross multiply
    114,693.77x = 172,145.72 × 61,445.86
  4. Step 4: Simplify right side
    114,693.77x = 10,577,641,533.97
  5. Step 5: Solve for x
    x = 10,577,641,533.97/114,693.77
  6. Step 6: Final answer
    x = 92,225.07

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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.