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Finding the Fourth Proportional to 123,465, 185,443.52 and 116,501.84

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Solution

The fourth proportional to 123,465, 185,443.52 and 116,501.84 is: 174,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,465 : 185,443.52 = 116,501.84 : x
  2. Step 2: Convert to fraction form
    123,465/185,443.52 = 116,501.84/x
  3. Step 3: Cross multiply
    123,465x = 185,443.52 × 116,501.84
  4. Step 4: Simplify right side
    123,465x = 21,604,511,296.08
  5. Step 5: Solve for x
    x = 21,604,511,296.08/123,465
  6. Step 6: Final answer
    x = 174,984.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.