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Finding the Fourth Proportional to 133,074.40, 183,643.19 and 72,646.38

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Solution

The fourth proportional to 133,074.40, 183,643.19 and 72,646.38 is: 100,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074.40 : 183,643.19 = 72,646.38 : x
  2. Step 2: Convert to fraction form
    133,074.40/183,643.19 = 72,646.38/x
  3. Step 3: Cross multiply
    133,074.40x = 183,643.19 × 72,646.38
  4. Step 4: Simplify right side
    133,074.40x = 13,341,012,965.15
  5. Step 5: Solve for x
    x = 13,341,012,965.15/133,074.40
  6. Step 6: Final answer
    x = 100,252.29

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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.