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Finding the Fourth Proportional to 99,465.09, 137,263.59 and 54,144.38

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Solution

The fourth proportional to 99,465.09, 137,263.59 and 54,144.38 is: 74,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,465.09 : 137,263.59 = 54,144.38 : x
  2. Step 2: Convert to fraction form
    99,465.09/137,263.59 = 54,144.38/x
  3. Step 3: Cross multiply
    99,465.09x = 137,263.59 × 54,144.38
  4. Step 4: Simplify right side
    99,465.09x = 7,432,051,290.81
  5. Step 5: Solve for x
    x = 7,432,051,290.81/99,465.09
  6. Step 6: Final answer
    x = 74,720.20

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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.