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Finding the Fourth Proportional to 97,384.31, 145,692.14 and 73,759.93

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Solution

The fourth proportional to 97,384.31, 145,692.14 and 73,759.93 is: 110,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384.31 : 145,692.14 = 73,759.93 : x
  2. Step 2: Convert to fraction form
    97,384.31/145,692.14 = 73,759.93/x
  3. Step 3: Cross multiply
    97,384.31x = 145,692.14 × 73,759.93
  4. Step 4: Simplify right side
    97,384.31x = 10,746,242,047.95
  5. Step 5: Solve for x
    x = 10,746,242,047.95/97,384.31
  6. Step 6: Final answer
    x = 110,348.80

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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.