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Finding the Fourth Proportional to 137,549.34, 189,858.60 and 89,810.10

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Solution

The fourth proportional to 137,549.34, 189,858.60 and 89,810.10 is: 123,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,549.34 : 189,858.60 = 89,810.10 : x
  2. Step 2: Convert to fraction form
    137,549.34/189,858.60 = 89,810.10/x
  3. Step 3: Cross multiply
    137,549.34x = 189,858.60 × 89,810.10
  4. Step 4: Simplify right side
    137,549.34x = 17,051,219,851.86
  5. Step 5: Solve for x
    x = 17,051,219,851.86/137,549.34
  6. Step 6: Final answer
    x = 123,964.39

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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.