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Finding the Fourth Proportional to 102,907.20, 144,484.80 and 102,907.20

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Solution

The fourth proportional to 102,907.20, 144,484.80 and 102,907.20 is: 144,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,907.20 : 144,484.80 = 102,907.20 : x
  2. Step 2: Convert to fraction form
    102,907.20/144,484.80 = 102,907.20/x
  3. Step 3: Cross multiply
    102,907.20x = 144,484.80 × 102,907.20
  4. Step 4: Simplify right side
    102,907.20x = 14,868,526,210.56
  5. Step 5: Solve for x
    x = 14,868,526,210.56/102,907.20
  6. Step 6: Final answer
    x = 144,484.80

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