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Finding the Fourth Proportional to 98,907.21, 148,360.77 and 65,692.11

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Solution

The fourth proportional to 98,907.21, 148,360.77 and 65,692.11 is: 98,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,907.21 : 148,360.77 = 65,692.11 : x
  2. Step 2: Convert to fraction form
    98,907.21/148,360.77 = 65,692.11/x
  3. Step 3: Cross multiply
    98,907.21x = 148,360.77 × 65,692.11
  4. Step 4: Simplify right side
    98,907.21x = 9,746,132,022.52
  5. Step 5: Solve for x
    x = 9,746,132,022.52/98,907.21
  6. Step 6: Final answer
    x = 98,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.