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Finding the Fourth Proportional to 104,583.42, 156,894.57 and 42,297.66

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Solution

The fourth proportional to 104,583.42, 156,894.57 and 42,297.66 is: 63,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,583.42 : 156,894.57 = 42,297.66 : x
  2. Step 2: Convert to fraction form
    104,583.42/156,894.57 = 42,297.66/x
  3. Step 3: Cross multiply
    104,583.42x = 156,894.57 × 42,297.66
  4. Step 4: Simplify right side
    104,583.42x = 6,636,273,177.71
  5. Step 5: Solve for x
    x = 6,636,273,177.71/104,583.42
  6. Step 6: Final answer
    x = 63,454.35

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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.