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Finding the Fourth Proportional to 101,785.65, 140,465.04 and 56,466.60

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Solution

The fourth proportional to 101,785.65, 140,465.04 and 56,466.60 is: 77,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.65 : 140,465.04 = 56,466.60 : x
  2. Step 2: Convert to fraction form
    101,785.65/140,465.04 = 56,466.60/x
  3. Step 3: Cross multiply
    101,785.65x = 140,465.04 × 56,466.60
  4. Step 4: Simplify right side
    101,785.65x = 7,931,583,227.66
  5. Step 5: Solve for x
    x = 7,931,583,227.66/101,785.65
  6. Step 6: Final answer
    x = 77,924.38

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Why These Related Problems?

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