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Finding the Fourth Proportional to 233,115.63, 349,692.60 and 98,218.74

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Solution

The fourth proportional to 233,115.63, 349,692.60 and 98,218.74 is: 147,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,115.63 : 349,692.60 = 98,218.74 : x
  2. Step 2: Convert to fraction form
    233,115.63/349,692.60 = 98,218.74/x
  3. Step 3: Cross multiply
    233,115.63x = 349,692.60 × 98,218.74
  4. Step 4: Simplify right side
    233,115.63x = 34,346,366,559.32
  5. Step 5: Solve for x
    x = 34,346,366,559.32/233,115.63
  6. Step 6: Final answer
    x = 147,336.18

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Why These Related Problems?

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