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Finding the Fourth Proportional to 145,006.10, 203,475.10 and 145,006.10

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Solution

The fourth proportional to 145,006.10, 203,475.10 and 145,006.10 is: 203,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,006.10 : 203,475.10 = 145,006.10 : x
  2. Step 2: Convert to fraction form
    145,006.10/203,475.10 = 145,006.10/x
  3. Step 3: Cross multiply
    145,006.10x = 203,475.10 × 145,006.10
  4. Step 4: Simplify right side
    145,006.10x = 29,505,130,698.11
  5. Step 5: Solve for x
    x = 29,505,130,698.11/145,006.10
  6. Step 6: Final answer
    x = 203,475.10

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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.