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Finding the Fourth Proportional to 170,692.50, 255,970.29 and 70,784.82

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Solution

The fourth proportional to 170,692.50, 255,970.29 and 70,784.82 is: 106,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,692.50 : 255,970.29 = 70,784.82 : x
  2. Step 2: Convert to fraction form
    170,692.50/255,970.29 = 70,784.82/x
  3. Step 3: Cross multiply
    170,692.50x = 255,970.29 × 70,784.82
  4. Step 4: Simplify right side
    170,692.50x = 18,118,810,903.00
  5. Step 5: Solve for x
    x = 18,118,810,903.00/170,692.50
  6. Step 6: Final answer
    x = 106,148.84

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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.