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Finding the Fourth Proportional to 102,923.90, 144,404.50 and 102,923.90

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Solution

The fourth proportional to 102,923.90, 144,404.50 and 102,923.90 is: 144,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,923.90 : 144,404.50 = 102,923.90 : x
  2. Step 2: Convert to fraction form
    102,923.90/144,404.50 = 102,923.90/x
  3. Step 3: Cross multiply
    102,923.90x = 144,404.50 × 102,923.90
  4. Step 4: Simplify right side
    102,923.90x = 14,862,674,317.55
  5. Step 5: Solve for x
    x = 14,862,674,317.55/102,923.90
  6. Step 6: Final answer
    x = 144,404.50

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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.