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Finding the Fourth Proportional to 145,814.10, 204,692.70 and 145,814.10

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Solution

The fourth proportional to 145,814.10, 204,692.70 and 145,814.10 is: 204,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814.10 : 204,692.70 = 145,814.10 : x
  2. Step 2: Convert to fraction form
    145,814.10/204,692.70 = 145,814.10/x
  3. Step 3: Cross multiply
    145,814.10x = 204,692.70 × 145,814.10
  4. Step 4: Simplify right side
    145,814.10x = 29,847,081,827.07
  5. Step 5: Solve for x
    x = 29,847,081,827.07/145,814.10
  6. Step 6: Final answer
    x = 204,692.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.