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Finding the Fourth Proportional to 99,506.58, 137,314.50 and 54,184.38

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Solution

The fourth proportional to 99,506.58, 137,314.50 and 54,184.38 is: 74,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506.58 : 137,314.50 = 54,184.38 : x
  2. Step 2: Convert to fraction form
    99,506.58/137,314.50 = 54,184.38/x
  3. Step 3: Cross multiply
    99,506.58x = 137,314.50 × 54,184.38
  4. Step 4: Simplify right side
    99,506.58x = 7,440,301,047.51
  5. Step 5: Solve for x
    x = 7,440,301,047.51/99,506.58
  6. Step 6: Final answer
    x = 74,771.95

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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.