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Finding the Fourth Proportional to 224,490.94, 309,804.74 and 127,692.30

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Solution

The fourth proportional to 224,490.94, 309,804.74 and 127,692.30 is: 176,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,490.94 : 309,804.74 = 127,692.30 : x
  2. Step 2: Convert to fraction form
    224,490.94/309,804.74 = 127,692.30/x
  3. Step 3: Cross multiply
    224,490.94x = 309,804.74 × 127,692.30
  4. Step 4: Simplify right side
    224,490.94x = 39,559,679,801.50
  5. Step 5: Solve for x
    x = 39,559,679,801.50/224,490.94
  6. Step 6: Final answer
    x = 176,219.49

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1.5x scale

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.